Problem

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

Solution

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 :\(\boxed{\text{The graph of the equation } x-4y=-12 \text{ is a straight line that passes through the points } (-12,0) \text{ and } (0,3). \text{ The line slopes upwards from left to right.}}\)

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