Identify the slope and the y-intercept of the equation 4x - 3y = 12

1 answer

To identify the slope and y-intercept of the equation 4x - 3y = 12, we need to rearrange it into slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.

To convert the given equation into slope-intercept form, let's isolate y:

4x - 3y = 12.

Subtract 4x from both sides:

-3y = -4x + 12.

Divide the entire equation by -3:

y = (4/3)x - 4.

Comparing it with the slope-intercept form, we can identify that the slope (m) is 4/3 and the y-intercept (b) is -4.