Question
Graph the equation $x-4 y=-12$ by plotting points.
Provide your answer below:
Answer
\(\boxed{\text{The graph of the equation } x-4y=-12 \text{ is a straight line that passes through the points } (-12,0) \text{ and } (0,3). \text{ The line slopes upwards from left to right.}}\)
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 ：\(\boxed{\text{The graph of the equation } x-4y=-12 \text{ is a straight line that passes through the points } (-12,0) \text{ and } (0,3). \text{ The line slopes upwards from left to right.}}\)
