ANSWER
y = x - 8
EXPLANATION
We are given the graph of the line.
We have to find the equation of the line in slope intercept form.
The slope intercept form of a linear equation is given as:
y = mx + c
where m = slope
c = y intercept
We can find the y intercept by looking at where the graph touches the y axis.
From the graph:
c = -8
Now, to find the slope, we use the formula:
[tex]m\text{ = }\frac{y2\text{ - y1}}{x2\text{ - x1}}[/tex]
where (x1, y1) and (x2, y2) are two points that fall on the line.
Let us pick the points:
(x1, y1) = (0, -8)
(x2, y2) = (8, 0)
Therefore:
[tex]\begin{gathered} m\text{ = }\frac{0\text{ -(-8)}}{8\text{ - 0}}\text{ = }\frac{\text{0 + 8}}{8\text{ - 0}} \\ m\text{ = }\frac{8}{8} \\ m\text{ = 1} \end{gathered}[/tex]
Therefore, the equation of the line is:
y = x - 8
