Question

Write the equation of a line in slope intercept form that has a slope of 3 and goes through the point (2,-4).

Answer 1

Answer:
`y = 3x - 10`

Explanation:

The formula for finding equation of line when a point and a slope is given is :

`y - y_(1) = m (x - x_(1))`

`x_(1)=2`

`y_(1) = -4`

`m = 3`

substituting into the formula , we have

`y - (-4)` =
`3(x-2)`

`y +4 = 3x - 6`

`y = 3x - 6 - 4`

`y = 3x - 10`