Question

What is the equation of the line with slope of 1/2 , and which passes through the point (4,-5)?

Answer 1

(y+5)=\frac{1}{2}(x-4) in point slope form

Explanation:

The point slope form of a line is
`(y-y_1)=m(x-x_1)` where
`x_1=4\\y_1=-5`. We write

`(y--5)=m(x-4)\\(y+5)=m(x-4)`

We know m the slope is
`(1)/(2)` and we substitute.

`(y+5)=(1)/(2)(x-4)`