Question

Write an equation in slope intercept form given the slope and a point or given two points. Equation below:

m = -2; (7,-4)

Can someone please help me do this I don’t remember how to the answer and I need to show my work

Thank you soo much!!!

Answer 1

Answer:

y = -2x + 10

use the following formula:

y₁ - y = m ( x₁ - x )

using this formula:

$\hookrightarrow$ y₁ - y = m ( x₁ - x )

$\hookrightarrow$ y - -4 = -2 ( x - 7 )

$\hookrightarrow$ y + 4 = -2 ( x - 7 )

$\hookrightarrow$ y = -2x + 14 -4

$\hookrightarrow$ y = -2x + 10

Answer 2

Answer:

$\mathsf{y=-2x+10}$

Step-by-step explanation:

slope-intercept form of a linear equation: y = mx + b

(where m is the slope and b is the y-intercept)

point-slope form of a linear equation:  $\mathsf{y-y_1=m(x-x_1)}$

(where m is the slope and $\mathsf{(x_1,y_1)}$ is the point)

Given:

• m = -7
• $\mathsf{(x_1,y_1)=(7,-4)}$

Substitute these values into the point-slope equation:

$\mathsf{y--4=-2(x-7)}$

$\mathsf{y+4=-2(x-7)}$

Now rearrange to put into slope-intercept form by making y the subject:

$\mathsf{y+4=-2x+14}$

$\mathsf{y=-2x+10}$