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

The answer is
`y = - (1)/(4) x + (9)/(4)`

Explanation:

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

`y = mx + b`

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

`m =  (y_2 - y_1)/(x_2 - x_1)`

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

`m =  (2- 3)/(1 - ( - 3)) = ( - 1)/(4) = - (1)/(4)`

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

`y = mx + b \\ 3 = - (1)/(4) ( - 3) + b \\ 3 = (3)/(4) + b \\ ( - (3)/(4) = - (3)/(4) \: \: \: \: \: \: \: \: \: \: \: )/( ( 9)/(4) = b \: \: \: \: \: \: \: \: )`

☆Third: Plug in.

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