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A line has a slope of – 1/7 and passes through the point (4,5). What is its equation in point-slope form?

2 Answers

5 votes

Answer:

y-5=-1/7(x-4)

Explanation:

The equation of the line in point-slope form is y-5=-1/7(x-4)

User Martin Bean
by
8.1k points
4 votes

Answer:

y = -1/7 x + 39/7

Explanation:

An equation in point slope form is

y = mx+b where m is the slope and b is the y intercept

We are given the slope

y = -1/7 x + b

Substitute in the point for x and y and solve for b

5 = -1/7(4) +b

5 = -4/7 +b

5 + 4/7 = b

5*7/7 + 4/7 = b

35/7 + 4/7 = b

39/7 = b

The equation is

y = -1/7 x + 39/7

User Amaris
by
7.9k points