Question

What is the equation of a line that is parallel to the given line y = -3x + 2 and has an x-intercept of -3?

A) y = x + 3
B) y = kx + 2
C) y = -3x + 3
D) y = -3x + 2

Answer 1

To find the equation of a line parallel to y = -3x + 2 with an x-intercept of -3, we can use the fact that parallel lines have the same slope. The slope of the given line is -3, so the slope of the parallel line will also be -3. With the x-intercept of -3, we can find the y-intercept and write the equation in the form y = mx + b. The equation of the parallel line is y = -3x - 9.

Step-by-step explanation:

To find the equation of a line parallel to y = -3x + 2 and has an x-intercept of -3, we need to know that parallel lines have the same slope. The slope of the given line is -3, so the slope of the parallel line will also be -3. The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Since the x-intercept is -3, we know that when x = -3, y = 0. We can plug these values into the equation to find the y-intercept:

0 = -3(-3) + b

0 = 9 + b

b = -9

Therefore, the equation of the parallel line is y = -3x - 9.