Question

(8) Write the equation of the line that passes through the points (12, 4) and (22,9).

Answer 1

$\begin{gathered} y=mx+b \\ \text{where} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}$

Let us find m

$m=\frac{9-4}{22-12}=\frac{5}{10}=\frac{1}{2}$

Therefore,

$\begin{gathered} 4=\frac{1}{2}(12)+b \\ 4=6+b \\ b=4-6 \\ b=-2 \end{gathered}$$y=\frac{1}{2}x-2$