ANSWER
EXPLANATION
First, we have to find the slope, m, of the graph.
To do that, we use the formula for slope:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]
where (x1, y1) and (x2, y2) are points that fit the equation
We are given that:
(x1, y1) = (7, -2)
(x2, y2) = (13, 22)
Therefore, slope is:
[tex]\begin{gathered} m\text{ = }\frac{22\text{ - (-2)}}{13\text{ - 7}}\text{ = }\frac{22\text{ + 2}}{13\text{ - 7}} \\ m\text{ = }\frac{24}{6} \\ m\text{ = 4} \end{gathered}[/tex]
Now, we have to write the equation using point-slope method. That is:
y - y1 = m(x - x1)
=> y - (-2) = 4(x - 7)
y + 2 = 4x - 28
=> y = 4x - 28 - 2
y = 4x - 30
This is the equation in slope intercept method
