What is the y-intercept of 2x-3y=24

The y-intercept, b, is the value of y when x = 0.

To find the y-intercept, we must first transform the original equation into its slope-intercept form, y = mx + b:

2x - 3y = 24

Subtract 2x on both sides of the equation:

2x - 3y - 2x =  -2x + 24

-3y = -2x + 24

Divide both sides of the equation by -3:

Now that we have the equation in its slope-intercept form, we can find the y-intercept by substituting x with 0:

y = -2/3(0)- 8

y = 0 - 8

y = -8

Therefore, the y-intercept is (0, -8), or b = -8

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step-by-step explanation: