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anyanavicka [17]
3 years ago
12

The points (6, -3) and (7, -10) fall on a particular line. What is its equation in point-slope form? Use one of the specified po

ints in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
Mathematics
1 answer:
kumpel [21]3 years ago
6 0

Answer:

Step-by-step explanation:

Given the coordinate points (6, -3) and (7, -10), we are to find the equation of a line passing through this two points;

The standard equation of a line is y = mx+c

m is the slope

c is the intercept

Get the slope;

m = Δy/Δx = y2-y1/x2-x1

m = -10-(-3)/7-6

m = -10+3/1

m = -7

Get the intercept;

Substitute the point (6, -3) and m = -7 into the expression y = mx+c

-3 = -7(6)+c

-3 = -42 + c

c = -3 + 42

c = 39

Get the required equation by substituting m = -7 and c= 39 into the equation y = mx+c

y = -7x + 39

Hence the required equation is y = -7x + 39

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