3x+4y=0 Turn into slope intercept form

Question

Please show the steps and be clear

Answer 1

The form of a slope-intercept equation is y = mx + b , where m is the slope and b is the y-intercept.

For your problem, we need to "rearrange" the equation so that it follows this form.

3x + 4y = 0

First let's subtract 3x fromboth sides of the equation so that we have the 4y alone on the left side of the equation:

3x + 4y - 3x = -3x + 0

Then 4y = -3x + 0

Next, divide both side of the equation by 4:

4y/4 = (-3x + 0 )/4

Then y = ( -3x)/4 + 0/4

OR y = -3/4 x + 0

The slope, m, is -3/4 and the y-intercept is 0