SOLUTION: Find the x- and y-intercepts and graph the equation plotting the intercepts. Please show all of your work. 3x-6y= -21

Question 476529: Find the x- and y-intercepts and graph the equation plotting the intercepts. Please show all of your work. 3x-6y= -21
Found 2 solutions by robertb, ccs2011:
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Express the equation in intercept form
Divide both sides by -21:

<==>
<==>
Therefore the x-intercept is (-7,0), and the y-intercept is (0,7/2).
Answer by ccs2011(207) (Show Source): You can put this solution on YOUR website!

Easiest way to find intercepts is to set one variable equal to zero.
An intercept means point on the axis therefore either x or y must be zero.
For x-intercept, y=0.
For y-intercept, x =0.
Let y = 0. Solve for x.

The x-intercept is the point (-7,0). x= -7, y = 0
Let x = 0. Solve for y.

The y-intercept is the point (0,3.5). x= 0, y = 3.5
Now plot these 2 points and then draw a straight line through both points.
This line represents all possible points that satisfy the equation
here is what your graph should look like:

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