Question

Write the equation of the line that passes through the points (-4,3) and (-8,8). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answer 1

We have to use the slope formula first

`m=(y_2-y_1)/(x_2-x_1)`

Let's replace the given points

`m=(8-3)/(-8-(-4))=(5)/(-8+4)=-(5)/(4)`

Then, we use the point-slope formula to find the equation

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

Let's replace a point and the slope,

`\begin{gathered} y-3=-(5)/(4)(x-(-4) \\ y-3=-(5)/(4)(x+4) \\ y=-(5)/(4)x-5+3 \\ y=-(5)/(4)x-2 \end{gathered}`

Hence, the equation is

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