Question

A line passes through the point (1, -6) and has a slope of 9.Write an equation in point-slope form for this line.

Answer 1

EXPLANATION

Given the point (1,-6) and the slope 9 the equation in point-slope form is given by the following form:

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

Where m is the slope and (x_1,y_1)=(1,-6)

Replacing terms:

`y-(-6)=9(x-1)`

Applying the subtraction property:

`y+6=9(x-1)\longrightarrow\text{ point-slope form}`