Question

question what is an equation of the line that passes through the points (-1,0) and (1,8)?

Explanation:

Step1: Calculate the slope

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-1,y_1 = 0,x_2=1,y_2 = 8$. So $m=\frac{8 - 0}{1-(-1)}=\frac{8}{2}=4$.

Step2: Use the point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$. We can use the point $(-1,0)$ and $m = 4$. Substituting these values, we get $y-0=4(x - (-1))$, which simplifies to $y=4(x + 1)=4x+4$.

Answer:

$y = 4x+4$