To answer this question, we need to identify two points on the graph. These points are:
(4, 7) and (0, -9). These points are easy to identify, and a line is defined by two points.
We are going to use the two-point equation of the line to finally find the slope-intercept form of the line.
The formula to find the line is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]We have two points, and we need to label them as follows:
(4, 7) ---> x1 = 4, y1 = 7
(0, -9) ---> x2 = 0, y2 = -9
Then, we have:
[tex]y-7=\frac{-9-7}{0-4}(x-4)\Rightarrow y-7=\frac{-16}{-4}(x-4)\Rightarrow y-7=4(x-4)[/tex]Then, we have:
[tex]y-7=4x-16\Rightarrow y=4x-16+7\Rightarrow y=4x-9[/tex]Therefore, the equation of the line is equal to:
[tex]y=4x-9[/tex]We need to write:
• In the first box ---> ,4
,• In the second box --->, -9
