Problem

Question
Graph the equation x−4y=−12 by plotting points.
Provide your answer below:

Answer

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Answer

The graph of the equation x−4y=−12 is a straight line that passes through the points (−12,0) and (0,3). The line slopes upwards from left to right.

Steps

Step 1 ：Set y=0 in the equation to find the x-intercept. The equation becomes x=-12. So the x-intercept is -12.

Step 2 ：Set x=0 in the equation to find the y-intercept. The equation becomes -4y=-12. Solving for y gives y=3. So the y-intercept is 3.

Step 3 ：Plot the points (-12,0) and (0,3) on the graph.

Step 4 ：Draw a line through the points (-12,0) and (0,3). This line represents the equation x−4y=−12.

Step 5 ：The graph of the equation x−4y=−12 is a straight line that passes through the points (−12,0) and (0,3). The line slopes upwards from left to right.

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