Graph the equation using the intercept method. Label the intercepts on the graph. $2 x - 3 y = 6$

Question

Quizplus · Accepted Answer

To graph using the intercept method, we need to find the x and y-intercepts.

To find the x-intercept, we set y to zero and solve for x:

$2x - 3y = 6$
$2x - 3(0) = 6$
$2x = 6$
$x = 3$

So the x-intercept is (3,0).

To find the y-intercept, we set x to zero and solve for y:

$2x - 3y = 6$
$2(0) - 3y = 6$
$-3y = 6$
$y = -2$

So the y-intercept is (0,-2).

We plot these intercepts on the graph:

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Then we draw a straight line through these two points to get the graph of the equation.

Graph the Equation Using the Intercept Method 2x−3y=62 x - 3 y = 62x−3y=6