Graph y=x-7

Problem

y=x−7

Solution

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

2. Determine the slope m In this equation, the coefficient of x is 1 so m=1 This means for every 1 unit the graph moves to the right, it moves 1 unit up.

3. Identify the y-intercept b The constant term is −7 so the graph crosses the y-axis at the point (0,−7)

4. Find a second point using the slope. Starting from (0,−7) move right 1 unit and up 1 unit to reach the point (1,−6)

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

Final Answer

y=x−7

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