Question

What is an equation of the line that passes through the points (-4,1) and (4,4)?

Answer 1

y =
`(3)/(8) x + (5)/(2)`

Explanation:

☆Remember:
`m =  (y_2 - y_1)/(x_2 - x_1)`

☆Remember: Slope-intercept form -> y = mx + b

☆Now. We first need to find the slope.

`m =  (4 - 1)/(4 - (- 4)) = (3)/(8)`

☆Now the y-intercept.

`y = mx + b \\ \\ 4 = (3)/(8) (4) + b \\ \\ 4 = (3)/(2) + b \\ ( - ( 3)/( 2) = - ( 3)/( 2) \: \: \: \: \: \: \: \: \: \: )/( (5)/(2) = b )`