How do you find the slope and intercept of 4x = 3y + 6?

1 Answer
Alan P.
Feb 7, 2016

Slope: 4/3
y-intercept: : (-2)
x-intercept: 3/2

Explanation:

A linear equation in standard form: Ax+By=C
has a slope of (-A/B)

Re-writing 4x=3y+6 into standard form:
color(white)("XXX")4x-3y=6
rarr slope = -4/(-3) = 4/3

The y-intercept is the value of y when x=0
color(white)("XXX")4xx0 = 3y+6
rarr y=-2

The x-intercept is the value of x when y=0
color(white)("XXX")4x=3xx0+6
rarr x=6/4=3/2

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