Find the equation of the line that passes through the points (0, 1) and (4, -11).
A) $y = 4 x - 1$
B) $y = - 3 x + 4$
C) $y = 3 x - 4$
D) $y = - 3 x + 1$
E) $y = - 3 x + 5$

Question

Quizplus · Accepted Answer

We can use the formula for the slope of a line that passes through two points:
$$m = \frac{y_2 - y_1}{x_2 - x_1}$$
Substituting the values we get:
$$m = \frac{-11-1}{4-0} = -3$$
Now that we have the slope, we can use the point-slope form of the equation of a line:
$$y - y_1 = m(x - x_1)$$
Substituting the values we get:
$$y - 1 = -3(x - 0)$$
Simplifying we get:
$$y = -3x + 1$$
So the answer is choice D.

Find the Equation of the Line That Passes Through the Points