How do you find the slope and intercept to graph $2 x + 3 y = 6$ $2x + 3y = 6$ ?

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How do you find the slope and intercept to graph $2 x + 3 y = 6$ $2x + 3y = 6$ ?

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Answer 1 · 2016-03-08T10:19:35

Slope of $2 x + 3 y = 6$ $2x+3y=6$ is $- \frac{2}{3}$ $-2/3$ and intercept on $y$ $y$ axis is $2$ $2$

Explanation:

To find the slope and intercept to graph $2 x + 3 y = 6$ $2x+3y=6$ , we need to convert the equation in slope-intercept form $y = m x + c$ $y=mx+c$ , where $m$ $m$ is slope and $c$ $c$ is its intercept on $y$ $y$ axis.

So, $2 x + 3 y = 6$ $2x+3y=6$ gives us $3 y = - 2 x + 6$ $3y=-2x+6$

or dividing all by $3$ $3$ , $y = - \frac{2}{3} x + 2$ $y=-2/3x+2$

Hence, slope of $2 x + 3 y = 6$ $2x+3y=6$ is $- \frac{2}{3}$ $-2/3$ and intercept on $y$ $y$ axis is $2$ $2$ .

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How do you find the slope and intercept to graph $2 x + 3 y = 6$ $2x + 3y = 6$ ?

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