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DerKrebs [107]
3 years ago
5

A line that includes the point (7,0) has a slope of 1. What is its equation in slope-intercept form?

Mathematics
1 answer:
LiRa [457]3 years ago
3 0

Answer:

y = x-7    

Step-by-step explanation:

To write the equation of the line in slope-intercept form, use the slope-intercept formula, y = mx +b. Find real values for the m and b and substitute them into the formula.  

1) We know that m represents the slope, so substitute 1 in its place.  However, we still need to find b, or the y-intercept. So, along with substituting that 1 in for m, substitute the x and y values for (7,0) for the x and y in the formula as well. Then, isolate b to find its value:

y = mx + b\\0 = (1)(7)+b\\0 = 7 + b\\-7 = b

So, b = -7.  

2) Now, just substitute the found values for m and b into the slope-intercept formula. Remember that the slope is m, so substitute 1 in, and b is -7, so substitute -7 in its place as well. This gives the following equation in slope-intercept form:

y = 1x -7 or y = x-7

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