Question

Find the slope then write an equation for the line that passes through each pair of points (-16, 1), (-2, -6)

Answer 1

We have the following:

The equation in slope form y y-intercept is as follows

`y=mx+b`

The slope formula is as follows

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

replacing:

`m=(-6-1)/(-2-(-16))=(-7)/(-2+16)=(-7)/(14)=-(1)/(2)`

now, for b, m = -1/2, x = -16 and y = 1

replacing:

`\begin{gathered} 1=-(1)/(2)\cdot-16+b \\ 1=8+b \\ b=1-8 \\ b=-7 \end{gathered}`

The equation is:

`y=-(1)/(2)x-7`