Graph y=5x+5

Problem

y=5*x+5

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 y-intercept. The constant term b=5 indicates the line crosses the y-axis at the point (0,5)

3. Determine the slope. The coefficient m=5 represents the slope, which can be written as the fraction 5/1 This means for every 1 unit moved to the right, the line moves up 5 units.

4. Calculate a second point. Using the slope from the y-intercept (0,5) move right 1 and up 5 to find the point (1,10) Alternatively, find the x-intercept by setting y=0

0=5*x+5

−5=5*x

x=−1

This gives the point (−1,0)

5. Plot the points (0,5) and (−1,0) on a coordinate plane and draw a straight line through them to complete the graph.

Final Answer

y=5*x+5

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