How do you find the slope and intercept of 4x+7y=51?

1 Answer
Hope W.
Mar 28, 2016

Slope: (-4/7)
y-intercept: (51/7)

Explanation:

4x+7y=51
It is important to take the first equation, in standard form, and change it to slope-intercept form.
First subtract 4x from each side:
4x-4x+7y=-4x+51
7y=-4+51
Next, divide each side by 7 because you want to make the equation equal to y:
7y7=−4x+517
y=(−47)x+(517)
Slope: (−47)
y-intercept: (517)

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