Given
Given
[tex]\begin{gathered} points \\ (0,0)\text{ and }(15,3) \end{gathered}[/tex]SolutionStep 1Find slope[tex]Slope\text{ \lparen M\rparen=}\frac{y_2-y_1}{x_2-x_1}[/tex][tex]\begin{gathered} x_1=0 \\ y_1=0 \\ x_2=15 \\ y_2=3 \end{gathered}[/tex]
Substitute the given points into the slope formula
[tex]Slope(m)=\frac{3-0}{15-0}=\frac{3}{15}=\frac{1}{5}[/tex]step 2Equation of a line[tex]\begin{gathered} y=mx+b \\ m=\frac{1}{5} \\ x=0 \\ y=0 \\ \end{gathered}[/tex][tex]\begin{gathered} 0=0(\frac{1}{3})+b \\ b=0 \end{gathered}[/tex]Step 3[tex]y=\frac{1}{5}x[/tex]The final answerOption B
