SOLUTION:
Step 1:
In this question, we are given the following:
Find the equation containing the given point.
Write the equation in slope-intercept form:
[tex]\left(7,\text{ -9 \rparen and \lparen 9, -9 \rparen}\right?[/tex]Now, we are to find the gradient of the two points:
[tex]Gradient\text{ , m =}\frac{y_2-y_1}{x_2-x_1}[/tex][tex]Gradient,\text{ m =}\frac{-9-\left(-9\right)}{9-7}=\frac{-9+9}{2}=\frac{0}{2}=0[/tex]Using the equation,
[tex]y-y_1=\text{ m \lparen x-x}_1)[/tex][tex]y\text{ - \lparen-9\rparen = 0 \lparen x -\lparen-9\rparen \rparen}[/tex][tex]y+9=0[/tex]The graph showing the slope-intercept form,
CONCLUSION:
The equation in slope-intercept form =
[tex]y+9\text{ =0}[/tex]