Answer
$\text{H}$
Work Step by Step
First, we want to find the slope of this line. The slope of a line is given by the formula:
$m = \dfrac{y_2 - y_1}{x_2 - x_1}$, where $m$ is the slope and $(x_1, y_1)$ and $x_2, y_2)$ are two points on the line.
Let's plug in the points into this formula to find the slope of this line:
$m = \dfrac{7 - 4}{2 - (-2)}$
Simplify the numerator and denominator:
$m = \dfrac{3}{4}$
Now that we have the slope of the line, we plug this and the points into the point-slope equation of the line, which is given by the formula:
$y - y_1 = m(x - x_1)$, where $m$ is the slope and $(x_1, y_1)$ is a point on the line.
Let's plug in our slope and one of the points into this equation:
$y - 7 = \dfrac{3}{4}(x - 2)$
This corresponds to option $\text{H}$.
