Question

What is the equation of the following line you should scroll down to see all Answer options

Answer 1

Given

Given

$\begin{gathered} points \\ (0,0)\text{ and }(15,3) \end{gathered}$SolutionStep 1Find slope$Slope\text{ \lparen M\rparen=}\frac{y_2-y_1}{x_2-x_1}$$\begin{gathered} x_1=0 \\ y_1=0 \\ x_2=15 \\ y_2=3 \end{gathered}$

Substitute the given points into the slope formula

$Slope(m)=\frac{3-0}{15-0}=\frac{3}{15}=\frac{1}{5}$step 2Equation of a line$\begin{gathered} y=mx+b \\ m=\frac{1}{5} \\ x=0 \\ y=0 \\ \end{gathered}$$\begin{gathered} 0=0(\frac{1}{3})+b \\ b=0 \end{gathered}$Step 3$y=\frac{1}{5}x$The final answerOption B