Q13. - Algebra 1

Question

Write an equation in slope-intercept form for each graph shown.

 

Step-by-Step Solution

Answer

The equation in slope-intercept form for the given graph is $0y=x+2$.

Step 1. Write the equation of the line parallel to the y -axis and passing through the point ( a , 0 ) .

The equation of the line parallel to the $y$-axis and passing through the point $(a,0)$ is: $x=a$

Step 2. Write the equation of the line.

From the given graph, it can be noticed that the given graph is a line parallel to the $y$-axis and passing through the point $(-2,0)$.

 Therefore, the values of is $-2$.

Therefore, the equation of the line is:

$\begin{array}{c}x=a\\ x=-2\end{array}$

Step 3. Write the equation of the given graph in slope-intercept form.

Rewrite the equation $x=-2$ in the slope-intercept form to find the equation of the given graph in slope-intercept form.

 Therefore, it is obtained that:

 $\begin{array}{c}x=-2\\ x+2=0\\ x+2=0y\end{array}$ 

Therefore, the equation of the given graph in slope-intercept form is $0y=x+2$.