Question

Determine the equation of the line that has the same x-intercept as y = -4x - 28, and is parallel to the line 2x - 5y - 10 = 0. (this is due in like 7 minutes someone please help me!)

O y = -4x - 28
O y = 2x + 28
O y = -4x + 10
O y = 2x - 28"

Answer 1

The equation of the line that has the same x-intercept as y = -4x - 28 and is parallel to the line 2x - 5y - 10 = 0 is y = -4x + 28.

Step-by-step explanation:

To determine the equation of a line that has the same x-intercept as y = -4x - 28 and is parallel to the line 2x - 5y - 10 = 0, we first need to find the x-intercept of the given line.

The x-intercept occurs when y = 0, so we set y = 0 in the equation -4x - 28 and solve for x. We get -4x - 28 = 0, which simplifies to -4x = 28, and solving for x gives us x = -7. Therefore, the x-intercept is -7.

A line that is parallel to another line has the same slope. The given line has a slope of -4. Therefore, the equation of the line that is parallel and has the same x-intercept is y = -4x - 4(-7). Simplifying this equation, we get y = -4x + 28.