Question

Give the slope of the line which is parallel to y=−3x+7 (can you give me the equation?)

Answer 1

Explanation:

Usually in a problem of this sort you must supply one point through which the new line passes; here you have not yet done that.

Let's suppose that the new line, which is parallel to y=−3x+7, passes through the point (0, 2). Remembering that parallel lines have the same slope, we

write the new line as y = mx + b and replace m with -3; we also replace x with 0 and y with 2:

2 = -3(0) + b. Solving for b, we get b = 2. Thus, the desired equation of the line parallel to y=−3x+7 and passing through (0, 2) is

y = -3x + 2

Answer 2

Slope is -3, equation is y=-3x+b, where b can be any number but not 7.

Explanation:

Parallel lines have the same slope, so the slope of a line parallel to this is also -3.

An example of a parallel line to this is y=-3x+2, or y=-3x-4.