Question

In y intercept form m=2 through (4,7)

And
M=-4 (-1,9)

Please help with these two asap

Answer 1

`1.\ y = 2x - 1`

`2.\ y = -4x + 5`

Explanation:

Solving (1): The line equation in y intercept form;

Given

`m = 2`

`(x_1,y_1) = (4,7)`

This is calculated using the following formula

`y - y_1 = m(x - x_1)`

Substitute values for m, x1 and y1

`y - 7 = 2(x - 4)`

Open Bracket

`y - 7 = 2x - 8`

Make y the subject

`y = 2x - 8 + 7`

`y = 2x - 1`

Solving (2): The line equation in y intercept form;

Given

`m = -4`

`(x_1,y_1) = (-1,9)`

This is calculated using the following formula

`y - y_1 = m(x - x_1)`

Substitute values for m, x1 and y1

`y - 9 = -4(x - (-1))`

`y - 9 = -4(x + 1)`

Open Bracket

`y - 9 = -4x - 4`

Make y the subject

`y = -4x - 4 + 9`

`y = -4x + 5`