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3 votes
3 votes
Write the equation of the line, in slope intercept form, that goes through the points (6,4) and (-3,-5)

User Loki Astari
by
2.4k points

1 Answer

12 votes
12 votes

Answer:

y = x - 2

Explanation:

Find the slope using rise over run

(y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(-5 - 4) / (-3 - 6)

-9 / -9

= 1

Using y = mx + b, plug in the slope and a point to solve for b:

y = mx + b

4 = 1(6) + b

4 = 6 + b

-2 = b

Plug in the slope and b to y = mx + b

y = 1x - 2

y = x - 2

So, the equation of the line is y = x - 2

User Olaniyi
by
2.6k points