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23 votes
Find the equation

of the line
that goes through (-3,4) and
(6,7) in the form of y=mx+b.

User Ilan Biala
by
8.2k points

1 Answer

11 votes

Answer:

y = (1/3)*x + 5

Explanation:

Step 1: determine slope or m

m = change in y-coordinates ÷ change in x-coordinates

m = (4-7)/(-3-6) = -3/-9 = 1/3

Step 2: determine y-intercept or b

y = m*x + b

y = (1/3)*x + b

4 = (1/3)*(-3) + b

4 = -1 + b

b = 5

Step 3: substitute values for m and b into the slope intercept equation

y = (1/3)*x + 5

User Zzheng
by
8.0k points

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