Question

What is the equation in point slope form of the line that passes through the point (–1,–3) and has a slope of 4?

Answer 1

m=4

(-1, -3)
x1, y1

just plug the rest in

Answer 2

The required equation is y + 3 = 4(x + 1)

Explanation:

Since, the point slope form of a line passes through the point
`(x_1, y_1)` having slope m is,

`y-y_1 = m(x-x_1)`

Here,

`x_1 = -1, y_1 = -3\text{ and }m = 4`

Hence, the equation of the line,

`y+3 = 4(x+1)`

Or

`y = 4(x+1) - 3`