We want to get the equation on the graphed line.
The equation of the line is: y = 8*x - 9
A general line in the slope-intercept form is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope can be written as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Then we need to look at the graph and find two points on the line. I will use:
(0, -9) and (2, 7).
Then the slope of the line is:
[tex]a = \frac{7 - (-9)}{2 -0} = 8[/tex]
Then the line is something like:
y = 8*x + b
To find the value of b, we can use one of the two points we got above.
The point (0, -9) means that when x = 0, y is equal to -9, then we can write:
-9 = 8*0 + b
-9 = b
Finally, the equation of the line is:
y = 8*x - 9
If you want to learn more, you can read:
https://brainly.com/question/20632687
