Question

Write the equation of the line that is parallel to the graph of y=-3x+5, and whose y-intercept is (0.-7).

O y=3x-7
O y=-3x-7
Oy=3x+7
O y=-3x+7

Answer 1

The equation of the line parallel to y = -3x + 5 with a y-intercept of (0, -7) is y = -3x - 7.

Step-by-step explanation:

To find the equation of a line parallel to the graph of y = -3x + 5 with a y-intercept of (0, -7), we need to use the fact that parallel lines have the same slope.

The given line has a slope of -3, so the parallel line will also have a slope of -3.

We can use the point-slope form of a linear equation y - y1 = m(x - x1), where (x1, y1) is the y-intercept and m is the slope.

Substituting the values, we get y - (-7) = -3(x - 0), which simplifies to y + 7 = -3x.

Rearranging the equation, we get the final answer as y = -3x - 7.