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

Answer 1

Let's first rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

To do this, we isolate y on one side of the equation:
4x - 3y = 12
-3y = -4x + 12
y = (4/3)x - 4

From this equation, we can identify the slope, m, and the y-intercept, b.

The slope, m, is the coefficient of x, which is 4/3.
The y-intercept, b, is the constant term, which is -4.

Therefore, the slope is 4/3 and the y-intercept is -4.