Mathematics : asked on zapata12
 24.02.2021

What is the equation of the line that passes through the point (-2,0) and has a slope of -2?

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20.01.2022, solved by verified expert
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The equation of the point slope form of a line whose slope is 'm' and that passes through a point (x1,y1 ) is (y - y1)= m(x - x1).

where,

(x, y) is a random point on the line(which should be kept as variables while applying the formula).

(x11, y11) is a fixed point on the line.

m is the slope of the line.

Given point (X1,Y1) = (-2,0)

Slope (m) = -2

So equation of line,

(y-0) = -2[x -(-2)]

y = -2x +2×(-2)

y = -2x-4

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Faq

Mathematics
Step-by-step answer
P Answered by Master

Y=-2x-2

Step-by-step explanation:

Y=mx+b

y=-2x-(-2)

y=-2x-2

Mathematics
Step-by-step answer
P Answered by PhD

Y = -2x - 4

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Mathematics
Step-by-step answer
P Answered by Master

Y=-2x-2

Step-by-step explanation:

Y=mx+b

y=-2x-(-2)

y=-2x-2

Mathematics
Step-by-step answer
P Answered by Master

The equation of the line that passes through the point (-2, 0) and has a slope -2 is:

 y = -2x - 4

The graph of the line equation y = -2x - 4 is also attached.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slopeb is the y-intercept

Given that the equation of the line that passes through the point (-2, 0) and has a slope of -2.

so we have

slope m = -2point (-2, 0)

The first step we need to do is to determine the y-intercept of the line.

so substituting m = -2 and (-2, 0) in the slope-intercept form of the line equation to determine the y-intercept b

y = mx + b

0 = -2(-2) + b        ∵ (x, y) = (-2, 0)

0 = 4 + b

b = -4

Thus, the y-intercept b of the line is: b = -4

The second step is to substitute b = -4 and m = -2 in the slope-intercept form of the line equation

y = mx + b

y = -2x + (-4)

y = -2x - 4

Therefore, the equation of the line that passes through the point (-2, 0) and has a slope -2 is:

 y = -2x - 4

The graph of the line equation y = -2x - 4 is also attached.


Equation of the line that passes through the point (-2, 0) and has a slope

What is the
of -2?
Mathematics
Step-by-step answer
P Answered by Master

Step-by-step explanation:

y-b=m(x-a)

y-10=-4(x--2)

y-10=-4(x+2)

y-10= -4x-8

y= -4x+2

Mathematics
Step-by-step answer
P Answered by PhD

Step-by-step explanation:

y - 0 = 5/2(x + 2)

y = 5/2x + 5

Mathematics
Step-by-step answer
P Answered by PhD

The standard form of a line:

Ax+By=C

The slope-point formula:

y-y_1=m(x-x_1)

We have (-2, 0) and m = 4.

Substitute:

y-0=4(x-(-2))\\\\y=4(x+2)\\\\y=(4)(x)+(4)(2)\\\\y=4x+8\qquad|-4x\\\\-4x+y=8\qquad|\cdot(-1)\\\\4x-y=-8

Mathematics
Step-by-step answer
P Answered by Master

Step-by-step explanation:

y-b=m(x-a)

y-10=-4(x--2)

y-10=-4(x+2)

y-10= -4x-8

y= -4x+2

Mathematics
Step-by-step answer
P Answered by PhD

Step-by-step explanation:

y - 0 = 5/2(x + 2)

y = 5/2x + 5

Mathematics
Step-by-step answer
P Answered by PhD

The standard form of a line:

Ax+By=C

The slope-point formula:

y-y_1=m(x-x_1)

We have (-2, 0) and m = 4.

Substitute:

y-0=4(x-(-2))\\\\y=4(x+2)\\\\y=(4)(x)+(4)(2)\\\\y=4x+8\qquad|-4x\\\\-4x+y=8\qquad|\cdot(-1)\\\\4x-y=-8

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