How do you find the slope and y-intercept for the graph of the equation: 4x - 2y = 24?

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How do you find the slope and y-intercept for the graph of the equation: 4x - 2y = 24?

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Answer 1 · 2016-07-28T17:46:39

Slope of $4 x - 2 y = 24$ $4x-2y=24$ is $2$ $2$ and intercept on $y$ $y$ -axis is $- 12$ $-12$ .

Explanation:

The slope intercept form of equation of line is $y = m x + c$ $y=mx+c$ , where $m$ $m$ is the slope of line and $c$ $c$ is its intercept on $y$ $y$ -axis.

Hence to find slope and intercept on $y$ $y$ -axis, one needs to solve the equation for $y$ $y$ .

As equation is $4 x - 2 y = 24$ $4x-2y=24$

$- 2 y = - 4 x + 24$ $-2y=-4x+24$ and hence

$y = \frac{- 4}{- 2} x + \frac{24}{- 2}$ $y=(-4)/(-2)x+24/(-2)$

or $y = 2 x - 12$ $y=2x-12$

Hence slope of $4 x - 2 y = 24$ $4x-2y=24$ is $2$ $2$ and intercept on $y$ $y$ -axis is $- 12$ $-12$ .

graph{4x-2y=24 [-18.67, 21.33, -14.88, 5.12]}

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How do you find the slope and y-intercept for the graph of the equation: 4x - 2y = 24?

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