Question

Which of the following options represents the linear equation with a slope of 3/4 passing through the point (-4, 6)?

A) y = (3/4)x + 9
B) y = (3/4)x + 3
C) y = (4/3)x + 9
D) y = (4/3)x + 3

Answer 1

The linear equation with a slope of 3/4 passing through the point (-4, 6) can be represented by A) y = (3/4)x + 9.

Step-by-step explanation:

The linear equation with a slope of 3/4 passing through the point (-4, 6) can be represented by the equation y = (3/4)x + b. To find the value of b, we substitute the x and y coordinates of the given point into the equation.

Plugging in -4 for x and 6 for y, we get 6 = (3/4)(-4) + b.

Solving for b, we find b = 9.

Therefore, the linear equation is y = (3/4)x + 9, which corresponds to option A.