Find the equation of the line that passes through the pair of points. Write your answer in slope-intercept form.

Question

Quizplus · Accepted Answer

We can use the slope formula to find the slope of the line passing through the points:
$$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{(-2) - (-5)}{2 - (-1)} = \frac{3}{3} = 1$$
Using point-slope form, we have:
$$y - y_1 = m(x - x_1)$$
Choosing point $(2, -2)$ as our point, we get:
$$y - (-2) = 1(x - 2)$$
Simplifying:
$$y + 2 = x - 2$$
Finally, solving for $y$ in terms of $x$ (slope-intercept form):
$$y = x - 4$$
Thus, choice C is the correct answer.

Find the Equation of the Line That Passes Through the Pair