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

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

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

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}`