(4,5) (0,8) Slope intercept form, №18010435, 07.02.2023 22:47

Mathematics

Step-by-step answer

P Answered by Master

$(\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{4}}}\implies \cfrac{3}{-4}\implies -\cfrac{3}{4}$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-\cfrac{3}{4}}(x-\stackrel{x_1}{4}) \\\\\\ y-5=-\cfrac{3}{4}x+3\implies y=-\cfrac{3}{4}x+8$

Mathematics

Line ab contains points a (1, 2) and b (−2, 6) the slope of line ab is a)zero b)undefined c)positive d)negative the equation of line cd is (y−3) = − 2 (x − 4). what is the slope of a line perpendicular to line cd? line cd contains points a (4, 6) and b (−2, 6). the slope of line cd is line qr contains (2, 8) and (3, 10) line st contains points (0, 6) and (−2, 2). lines qr and st are the equation of line qr is y = negative 1 over 2x + 1. write an equation of a line perpendicular to line qr in slope-intercept form that contains point (5, 6). the

Step-by-step answer

P Answered by Specialist

18

On the first question, the formula would be m=\frac{y2-y1}{x2-x1} and the value we got is -4/3, so D.
On the second quesiton, the slope in the given equation of the line is -2, its negative reciprocal is 1/2, so A.
On the third question, use the slope formula above and the value you would get is zero, so A.
On the fourth question, the equation of the line perpendicular to line QR is y=2x+b, to find b, just substitute the point (5,6) to the equation. That would make b = -4. the final equation of the line would be: y=2x-4, so D.
On the fifth question, the equation of the line parallel to line QR is y = -2x + b. substitute the point (4,5) to the equation, and you'll get b = 13. the final equation of the line would be y=-2x+13, so A.

Mathematics

Line ab contains points a (1, 2) and b (−2, 6) the slope of line ab is a)zero b)undefined c)positive d)negative the equation of line cd is (y−3) = − 2 (x − 4). what is the slope of a line perpendicular to line cd? line cd contains points a (4, 6) and b (−2, 6). the slope of line cd is line qr contains (2, 8) and (3, 10) line st contains points (0, 6) and (−2, 2). lines qr and st are the equation of line qr is y = negative 1 over 2x + 1. write an equation of a line perpendicular to line qr in slope-intercept form that contains point (5, 6). the

Step-by-step answer

P Answered by Specialist

18

On the first question, the formula would be m=\frac{y2-y1}{x2-x1} and the value we got is -4/3, so D.
On the second quesiton, the slope in the given equation of the line is -2, its negative reciprocal is 1/2, so A.
On the third question, use the slope formula above and the value you would get is zero, so A.
On the fourth question, the equation of the line perpendicular to line QR is y=2x+b, to find b, just substitute the point (5,6) to the equation. That would make b = -4. the final equation of the line would be: y=2x-4, so D.
On the fifth question, the equation of the line parallel to line QR is y = -2x + b. substitute the point (4,5) to the equation, and you'll get b = 13. the final equation of the line would be y=-2x+13, so A.

Mathematics

What is the equation of a line that passes through the points (0,5) and (4,8)? write your answer in slope-intercept form.

Step-by-step answer

P Answered by PhD

10

Points are (0,5) and ( 4,8)

m = (8-5) / (4-0)

=3/5

Apply anyone point in Slope intercept form to find b

5 = (3/5)* 0 + b

b=5

The required equation is

Y = (3/5) X + 5

Step-by-step explanation:

Mathematics

What is the equation of the line that passes through the points (0,5) and (4,8)? Write your answer in slope-intercept form.

Step-by-step answer

P Answered by PhD

1

Y= (3/5)X + 5

Step-by-step explanation:

Step 1:

The Slope Intercept form is given by Y = mX + b

where m = Slope

m= $\frac{Y_{2} - Y_{1} }{X_{2} - X_{1} }$

b= Y-intercept

Step 2:

Points are (0,5) and ( 4,8)

m = (8-5) / (4-0)

=3/5

Apply anyone point in Slope intercept form to find b

5 = (3/5)* 0 + b

b=5

The required equation is

Y = (3/5) X + 5

Mathematics

What is the equation of a line that passes through the points (0,5) and (4,8) ? write your answer in slope-intercept form

Step-by-step answer

P Answered by PhD

1

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 5) and (x₂ , y₂ ) = (4, 8)

m = $\frac{8-5}{4-0}$ = $\frac{3}{4}$

Note the line crosses the y- axis at (0, 5) ⇒ c = 5

y = $\frac{3}{4}$ x + 5 ← equation in slope- intercept form

Mathematics

What is the equation of a line that passes through the points (0,5) and (4,8)? write your answer in slope-intercept form.

Step-by-step answer

P Answered by PhD

10

Points are (0,5) and ( 4,8)

m = (8-5) / (4-0)

=3/5

Apply anyone point in Slope intercept form to find b

5 = (3/5)* 0 + b

b=5

The required equation is

Y = (3/5) X + 5

Step-by-step explanation:

Mathematics

What is the equation of a line that passes through the points (0,5) and (4,8)? write the answer in slope-intercept form.

Step-by-step answer

P Answered by PhD

1

y = 3/4x + 5

Step-by-step explanation:

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept → (0, b)

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (4, 8) and (0, 5) → b = 5.

Calculate the slope:

$m=\dfrac{5-8}{0-4}=\dfrac{-3}{-4}=\dfrac{3}{4}$

Therefore we have the equation of the line:

$y=\dfrac{3}{4}x+5$

Mathematics

what is the equation of a line that passes through the points (0,5) and (4,8)? write your answer in slope intercept form.

Step-by-step answer

P Answered by PhD

2

First find slope
(8-5)/(4-0) = 3/4
Y = 3/4x + b
5 = 3/4(0) + b, b = 5
Solution: y = 3/4x + 5

Mathematics

what is the equation of a line passes through the points(0,5) and (4,8) answer it in slope-intercept form

Step-by-step answer

P Answered by Master

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

Step-by-step explanation:

Substitute into the slope formula

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

$m=\frac{8-5 }{4-0 }$

$m=\frac{3}{4}$

Substitute slope and one point (doesn't matter which) into slope intercept form (y=mx+b) to solve for b

Write the equation

I hope this helps :)

(4,5) (0,8)
Slope intercept form

Step-by-step answer

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