Find the intercepts and use them to graph the equation. Y = x-7
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to find the x-intercept, set y=0
for the y-intercept, set x=0
Now you have two points on the axes -- connect them with a line.
To find the intercepts of the equation y = x - 7, we need to determine the points at which the graph of the equation crosses the x-axis and the y-axis.
Finding the x-intercept:
To find the x-intercept, we set y = 0. So, we substitute y = 0 into the equation y = x - 7 and solve for x:
0 = x - 7
Adding 7 to both sides, we get:
7 = x
Therefore, the x-intercept is (7, 0).
Finding the y-intercept:
To find the y-intercept, we set x = 0. So, we substitute x = 0 into the equation y = x - 7 and solve for y:
y = 0 - 7
y = -7
Therefore, the y-intercept is (0, -7).
Now, let's graph the equation using the intercepts we found:
- Plot the x-intercept which is (7, 0) on the x-axis.
- Plot the y-intercept which is (0, -7) on the y-axis.
- Connect the two points with a straight line.
The graph of the equation y = x - 7 would look like a straight line passing through the points (7, 0) and (0, -7), and extending in both directions.