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Given the equation 8x + 7y = 5, rewrite it in slope-intercept form. Simplify your answer.

Mathematics

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Answer

y=−87x+57y = -\frac{8}{7}x + \frac{5}{7}

Graph of y = −8/7x + 5/7

Use the left and right arrow keys to trace the curve, up and down to jump between key points, and plus and minus to zoom.

Key points of y = −8/7x + 5/7
Pointxy
y-intercept00.71
x-intercept0.630

Step-by-step solution

3 steps

  1. Start with the given equation.

    8x+7y=58x + 7y = 5

  2. Subtract 8x8x from both sides of the equation to isolate the term with yy.

    7y=5−8x7y = 5 - 8x

    Rearrange the right side to match the mx+bmx+b format.

    7y=−8x+57y = -8x + 5

  3. Divide both sides by 7 to solve for yy.

    7y7=−8x+57y=−87x+57\frac{7y}{7} = \frac{-8x + 5}{7} \\ y = \frac{-8}{7}x + \frac{5}{7}

    The equation in slope-intercept form is y=−87x+57y = -\frac{8}{7}x + \frac{5}{7}.

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