Question

Find an equation for the line below

Answer 1

`y=(1)/(4)x+(11)/(4)`

Explanation:

Slope (m) formula:
`(y_2-y_1)/(x_2-x_1)`

(-3, 2) and (5, 4):

`m=(y_2-y_1)/(x_2-x_1) \\\\m=(4-2)/(5-(-1)) \\\\m=(4-2)/(5+3) \\\\m=(2)/(8) \\\\m=(1)/(4)`

`y=mx+b`

`y=(1)/(4) x+b`

(-3, 2)

`y=(1)/(4) x+b\\\\2=(1)/(4)(-3)+b\\\\2=-(3)/(4)+b\\\\4(2=-(3)/(4)+b)\\\\8=-3+4b\\\\+3 +3\\\\11=4b\\\\/4 /4\\\\11/4=b`

`y=(1)/(4)x+(11)/(4)`

Hope this helps!