Graph y=-x+7

Problem

y=−x+7

Solution

1. Identify the equation as a linear function in slope-intercept form, which is y=m*x+b

2. Determine the y-intercept by looking at the constant b Here, b=7 so the line crosses the y-axis at the point (0,7)

3. Determine the slope m by looking at the coefficient of x Here, m=−1

4. Interpret the slope as rise/run A slope of −1 means that for every 1 unit moved to the right, the line moves 1 unit down.

5. Find a second point by starting at (0,7) and applying the slope. Moving right 1 and down 1 gives the point (1,6)

6. Plot the points (0,7) and (1,6) on a coordinate plane and draw a straight line through them.

Final Answer

y=−x+7

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