Question

Write an equation in slope intercept form of the line that passes through the given points (-3, 3) and (1,2) HELP

Answer 1

Answer:

The answer is $y = - \frac{1}{4} x + \frac{9}{4}$

Step-by-step explanation:

❃Incase you forgot what the slope-intercept formula is ☟

$y = mx + b$

❃Incase you also forgot, what the slope formula is ☟

$m = \frac{y_2 - y_1}{x_2 - x_1}$

☆ First: We are going to be solving for the slope.

$m = \frac{2- 3}{1 - ( - 3)} = \frac{ - 1}{4} = - \frac{1}{4}$

☆Second: We are going to find the y-intercept.

$y = mx + b \\ 3 = - \frac{1}{4} ( - 3) + b \\ 3 = \frac{3}{4} + b \\ \frac{ - \frac{3}{4} = - \frac{3}{4} \: \: \: \: \: \: \: \: \: \: \: }{ \frac{ 9}{4} = b \: \: \: \: \: \: \: \: }$

☆Third: Plug in.

$y = - \frac{1}{4} x + \frac{9}{4}$