Question

Find the equation of the line.

Answer 1

Step 1

write the expression for the equation of a line

$\begin{gathered} y\text{ = mx + c} \\ m\text{ = slope} \\ c=\text{ y-intercept = }-2\text{ from the graph} \end{gathered}$

Step 2

Find the slope using the formula below

$\begin{gathered} m\text{ =}\frac{y_2-y_1}{x_2-x_1} \\ \end{gathered}$

Where

$\begin{gathered} y_2=1 \\ y_1=-2 \\ x_2=4 \\ x_1=0 \end{gathered}$

Hence substituting we will have

$\begin{gathered} \\ m=\frac{1-(-2)}{4-(0)} \\ m\text{ = }\frac{1+2}{4} \\ m\text{ =}\frac{3}{4} \end{gathered}$

Step 3

Find the equation by substitution

$y\text{ = }\frac{3}{4}x-2$