Question

Given a graph of a line you can write it’s equation aim slope-intercept form by simply identifying its slope and y-intercept

Answer 1

From the graph, we observe that,

The y-intercept is 7.

Next to find the slope:

Take points are (0,7) and (2,2).

Using the slope formula,

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ =\frac{2-7}{2-0} \\ =-\frac{5}{2} \end{gathered}$

Hence, the slope is

$m=-\frac{5}{2}x$

Then, the equation of the line can be obtained by using the formula is,

$\begin{gathered} y=mx+c \\ y=-\frac{5}{2}x+7 \end{gathered}$

Hence, the equation of the line is,

$y=-\frac{5}{2}x+7$