Find y if the line through the points (20, 6) and (4, y ) has a slope of $\frac { 9 } { 4 }$ .
A) y = -38
B) y = -30
C) y = -31
D) y = 42
E) y = -28

Question

Quizplus · Accepted Answer

We can use the formula for finding slope:
$$m = \frac{y_2 - y_1}{x_2 - x_1}$$
Plugging in the given values, we get:
$$\frac{9}{4} = \frac{y - 6}{4 - 20}$$
Simplifying, we get:
$$\frac{9}{4} = \frac{y-6}{-16}$$
Cross multiplying, we get:
$$y - 6 = -36$$
$$y = -30$$
Therefore, the answer is B.

Find Y If the Line Through the Points (20, 6) 94\frac { 9 } { 4 }49​

Find Y If the Line Through the Points (20, 6) $\frac { 9 } { 4 }$