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04.04.2021

Y=-2/3x-5 slope and y-intercept

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24.06.2023, solved by verified expert

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Slope = 2/3

Y-intercept = -5

Step-by-step explanation:

Since the equation is written in y = mx + b format. The m is the slope and b is the y-intercept. In place of m is 2/3 and in place of b is -5. Therefore, the slope is 2/3 and the y-intercept is -5.

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Mathematics

Y=-2/3x-5 slope and y-intercept

Step-by-step answer

P Answered by PhD

2

Slope = 2/3

Y-intercept = -5

Step-by-step explanation:

Since the equation is written in y = mx + b format. The m is the slope and b is the y-intercept. In place of m is 2/3 and in place of b is -5. Therefore, the slope is 2/3 and the y-intercept is -5.

hope this helps!

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Mathematics

Aline has a slope of and a y-intercept of −5. which equations represent the line? choose all answers that are correct. a.-2+3y=-15 b.y=2/3x-5 c.6y=4x-30 d.(y+3)=2/3(x-3)

Step-by-step answer

P Answered by PhD

3

A is wrong because the Y-Intercept: = −13/3

B is correct because y=2/3x-5

c is correct because 6y=4x-30

and lastly D is correct because .(y+3)=2/3(x-3)

Mathematics

Aline has a slope of and a y-intercept of −5. which equations represent the line? choose all answers that are correct. a.-2+3y=-15 b.y=2/3x-5 c.6y=4x-30 d.(y+3)=2/3(x-3)

Step-by-step answer

P Answered by PhD

3

A is wrong because the Y-Intercept: = −13/3

B is correct because y=2/3x-5

c is correct because 6y=4x-30

and lastly D is correct because .(y+3)=2/3(x-3)

Mathematics

1). write an equation of a line with the given slope and y-intercept. m= -2, b=4 a) y= -2x-4 b) y= -2x+4 c) y= -1/2x+4 d) y= 4x-2 2). find the slope and y-inercept of the line y= 1/5x-8 a). 5; 8 b). 8; 1/5 c). 1/5; -8 d). -8; 1/5 3). are the graphs of the lines in he pair parallel? explain y=6x+9 27x-3y=-81 a). yes, since the slopes are the same and the y-intercepts are the same. b). yes, since the slopes are the same and the y-intercepts are different. c). no, since the y-intercepts are different. 4). write y=3/5x+4 in a standard form using integers.

Step-by-step answer

P Answered by PhD

3

Answers:

1) The Equation of a Line is:

y=mx+b (1)

Where:

is the slope

is the y-intercept

For this problem we have a given m=-2 and a given b=4

So, we only have to substitute this values in the equation (1):

y=-2x+4

This is option B

2) Here we have to find the slope and the y-intercept of this equation:

$y=\frac{1}{5}x-8$

According to the explanation in the first answer related to the equation (1), the slope of this line is:

$m=\frac{1}{5}$

And its y-intercept is:

b=-8

This is option C

3) We have to Equations of the Line, and we are asked if these are parallel:

y=6x+9 (a)

27x-3y=-81 (b)

Equation (b) has to be written in the same form of (a), in the form y=mx+b in order to be able to compare both:

-3y=-81-27x

$y=-\frac{1}{3}(-81-27x)$

$y=\frac{81}{3}+\frac{27}{3}x$

y=9x+27 (c)

There is a rule that establishes that Two lines are parallel if they have the same slope. In this case, if we compare equations (a) and (c) we find they don’t have the same slope, then they are not parallel.

4) Here we are asked to write $y=\frac{3}{5}x+4$ in a standard form with integers:

$-\frac{3}{5}x+y=4$

Multiply each side by 5:

$5(-\frac{3}{5}x+y)=5(4)$

$5(-\frac{3}{5}x)+5y=20$

-3x+5y=20

In this case none of the options apply, please check if the question was written correctly.

5) In this question we are asked to write an equation parallel to:

y=2x+7 (2)

That passes through the given point (3,11). (Notice that in the Cartesian plane the points have an x-component and a y-component)

First, remember that two Equations of the line are parallel when they have the same slope. Now that this is clear, we are going to use the equation of the slope with the given point to find the parallel equation:

Equation of the slope:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ (3)

From (2) we know the slope is 2, then we only have to substitute this value and the points in (3):

$2=\frac{y-11}{x-3}$

2(x-3)=y-11

2x-6=y-11

Finally:

y=2x+5

This is option B

Mathematics

1). write an equation of a line with the given slope and y-intercept. m= -2, b=4 a) y= -2x-4 b) y= -2x+4 c) y= -1/2x+4 d) y= 4x-2 2). find the slope and y-inercept of the line y= 1/5x-8 a). 5; 8 b). 8; 1/5 c). 1/5; -8 d). -8; 1/5 3). are the graphs of the lines in he pair parallel? explain y=6x+9 27x-3y=-81 a). yes, since the slopes are the same and the y-intercepts are the same. b). yes, since the slopes are the same and the y-intercepts are different. c). no, since the y-intercepts are different. 4). write y=3/5x+4 in a standard form using integers.

Step-by-step answer

P Answered by PhD

3

Answers:

1) The Equation of a Line is:

y=mx+b (1)

Where:

is the slope

is the y-intercept

For this problem we have a given m=-2 and a given b=4

So, we only have to substitute this values in the equation (1):

y=-2x+4

This is option B

2) Here we have to find the slope and the y-intercept of this equation:

$y=\frac{1}{5}x-8$

According to the explanation in the first answer related to the equation (1), the slope of this line is:

$m=\frac{1}{5}$

And its y-intercept is:

b=-8

This is option C

3) We have to Equations of the Line, and we are asked if these are parallel:

y=6x+9 (a)

27x-3y=-81 (b)

Equation (b) has to be written in the same form of (a), in the form y=mx+b in order to be able to compare both:

-3y=-81-27x

$y=-\frac{1}{3}(-81-27x)$

$y=\frac{81}{3}+\frac{27}{3}x$

y=9x+27 (c)

There is a rule that establishes that Two lines are parallel if they have the same slope. In this case, if we compare equations (a) and (c) we find they don’t have the same slope, then they are not parallel.

4) Here we are asked to write $y=\frac{3}{5}x+4$ in a standard form with integers:

$-\frac{3}{5}x+y=4$

Multiply each side by 5:

$5(-\frac{3}{5}x+y)=5(4)$

$5(-\frac{3}{5}x)+5y=20$

-3x+5y=20

In this case none of the options apply, please check if the question was written correctly.

5) In this question we are asked to write an equation parallel to:

y=2x+7 (2)

That passes through the given point (3,11). (Notice that in the Cartesian plane the points have an x-component and a y-component)

First, remember that two Equations of the line are parallel when they have the same slope. Now that this is clear, we are going to use the equation of the slope with the given point to find the parallel equation:

Equation of the slope:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ (3)

From (2) we know the slope is 2, then we only have to substitute this value and the points in (3):

$2=\frac{y-11}{x-3}$

2(x-3)=y-11

2x-6=y-11

Finally:

y=2x+5

This is option B

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tip=(18/100)*32

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=$5.76

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