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Remember, the y-intercept is where the x-value is equal to zero. The easiest way to do this is to solve an equation in terms of x, for y.

-7y + x - 1 = 5x + 15

-7y = 5x - x + 15 + 1

-7y = 4x + 16

y = (-4/7)x - 16/7

Now that you have solved an equation for y, simply substitute 0 in for x to find the y-intercept.

y = (-4/7)(0) - 16/7

y = 0 - 16/7

y = -16/7

This is the y-coordinate of where your y-intercept will occur. Since it is a y-intercept, the x-value is 0, giving you the ordered pair ( 0 , -16/7 ).

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14y ago

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