Question

write an equation for the line with a slope of 3/2 that passes through (4,-2) (I need the answer asap)

Answer 1

The equation of the line that has a slope m is

`y=mx+b.`

Since
`m=(3)/(2),` the equation is

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

This line passes through the point (4,-2), then the coordinates of this point satisfy the equation:

`-2=\dfra{3}{2}\cdot 4+b,\\ \\-2=6+b,\\ \\b=-8.`

Answer:
`y=(3)/(2)x-8.`