Write the following equation in​ slope-intercept form and identify the slope and​ y-intercept.

4x+3y=12

1 answer

To write the equation 4x + 3y = 12 in slope-intercept form, we need to isolate y on one side of the equation.

Starting with 4x + 3y = 12, we can subtract 4x from both sides:
3y = -4x + 12

Then, divide both sides of the equation by 3 to solve for y:
y = -4/3x + 4

Therefore, the equation written in slope-intercept form is y = -4/3x + 4.

The slope of the equation is -4/3 and the y-intercept is 4.
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