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What is the slope and y-intercept of the graph of 3x + 6y = 36?
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Solve for y. The slope is the coefficient on the x variable. The y-intercept is the non-variable term
6y = -3x + 36 y = -x/2 + 6 Slope is -1/2
y intercept is 6
First, subtract 3x to get 6y = -3x + 36. Then, divide by 6 to get y = (-3/6)x +6. That simplifies to y = (-1/2)x + 6. Now it's in slope intercept form, which means that the y-intercept is 6 and the slope is -1/2.
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