How do you find the slope and the y-intercept of the line represented by the equation: #-3x + 4y = 8#?

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Answer 1 · 2018-05-07T00:01:19

Refer to explanation

First, rewrite the equation in the form, #y=mx+c#.

#4y-3x = 8#

#4y = 3x+8#

#y= 3/4x +2#

The gradient of the line is the the coefficient of x.

#dy/dx = 3/4#

To calculate the #y# intercept, you make #x=0#.

#y = 3/4 (0) +2#

#y = 2#