what slope makes y= -1/4x - 3 parallel?

Answer 1

An equation of a line is typically written in the form

y = mx + b

where m = slope

b = y-intercept.

In your equation we have

y = (-1/4)x - 3

so m, the slope, is -1/4.

For 2 lines to be parallel they have to have the same slope. To avoid the lines being the same line you must have different y-intercepts. Therefore, you need to write an equation in the form of y = (-1/4)x + b. You can put any value in for b except -3 to make this possible.

Hope this helps!

Answer 2

what slope makes y= -1/4x - 3 parallel?

This is the slope intercept form of a line given as y=mx + b.....where m is the slope and b is the intercept.

Parallel lines have the SAME slope.....so m = -1/4.....