Question

Write an equation that is parallel to y = 3x - 6 and passes through the coordinates (3, 2).

a) y = 3x + 5
b) y = 3x - 5
c) y = 2x + 3
d) y = 2x - 3

Answer 1

To find an equation that is parallel to y = 3x - 6 and passes through the coordinates (3, 2), we need to keep the slope the same but change the y-intercept. The equation that fulfills these requirements is y = 3x - 7.

Step-by-step explanation:

To find an equation that is parallel to y = 3x - 6 and passes through the coordinates (3, 2), we need to keep the slope the same but change the y-intercept. The slope of the given equation is 3, so the slope of the parallel equation will also be 3. By substituting the values (3, 2) into the equation y = 3x + b, we can solve for the y-intercept:

2 = 3(3) + b

b = 2 - 9

b = -7

Therefore, the equation that is parallel to y = 3x - 6 and passes through the point (3, 2) is y = 3x - 7.