Question

8.
Convert the equation 4x - 7y= 21 into slope/y-intercept form.

Answer 1

To convert the equation 4x−7y=21 into slope-intercept form (y=mx+b), where m is the slope and b is the y-intercept, follow these steps:

4x−7y=21

Subtract 4x from both sides:

−7y=−4x+21

Divide both sides by −7 to isolate y:

y= 4/7x−3

So, the equation

4x−7y=21 in slope-intercept form is y = 4/7x −3. In this form, you can easily identify the slope (4/7) and the y-intercept (−3).