Question

What is the equation in point slope form for a line that passes through the points `(-4,3), (5,15)`?

Answer 1

The equation of the line in point slope form is `y − 3 = 4/3(x +4)`

Explanation:

The slope of the line passing through `(-4,3) and (5,15)` is

`m= (y_2-y_1)/(x_2-x_1)= (15-3)/(5+4)=12/9=4/3`

The point slope form of equation of a line is `y − y1 = m(x − x1)`

`x_1=-4, y_1=3 :.` The equation of the line in point slope form is

`y − 3 = 4/3(x +4)` [Ans]