91Ó°ÊÓ

The standard form of slope and intercept form of the straight line is $y=mx+c$.

Here, $m$ is the slope of the straight line and $c$is the $y$-intercept of the equation.

Also, when both the intercepts are given, use the intercept form of a straight line given below,

$\frac{x}{a}+\frac{y}{b}=1$, where $a$ is the $x$-intercept and $b$ is the $y$-intercept.

From the graph, the $x$-intercept $−2.5$is while the $y$-intercept is 7.

Write the equation in the intercept form,

$\frac{x}{−2.5}+\frac{y}{7}=1$

Convert this equation in slope and intercept form by separating the $y$from the equation in the intercept form.

role="math" localid="1647410481355" $$\begin{gathered} \frac{x}{−2.5}+\frac{y}{7}=1 \\ −\frac{2}{5}x+\frac{y}{7}=1 \\ y=7\left(1+\frac{2}{5}x\right) \\ y=7+\frac{14}{5}x \\ y=\frac{14}{5}x+7 \end{gathered}$$

The equation of the straight line in the slope and intercept form is $y=\frac{14}{5}x+7$.

Therefore, the equation of the straight line is $y=\frac{14}{5}x+7$.