Question

Slope intercept form for a line with m equals 2/3 and a point on the line of -9 and 5

Answer 1

Slope-intercept form:

y = mx + b "m" is the slope, "b" is the y-intercept

Since you know m =
`(2)/(3)`, you can plug it into the equation

y = mx + b

`y=(2)/(3)x + b`

To find "b", plug in the point (-9, 5) into the equation

`y=(2)/(3)x + b`

`5=(2)/(3)(-9)+b`

`5=(-9(2))/(3)+b`

`5=(-18)/(3) +b`

5 = -6 + b Add 6 on both sides

11 = b

`y=(2)/(3)x+11`