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:
#(7y)/7#=#(-4x+51)/7#
y=#(-4/7)#x+#(51/7)#
Slope: #(-4/7)#
y-intercept: #(51/7)#

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