Question

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

Answer 1

Answer:

$1.\ y = 2x - 1$

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

Step-by-step 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

$y = -4x - 4 + 9$

$y = -4x + 5$