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A line passes through the points (3,0) and (4,1). What is the y—intercept of the line?

User Reggy
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1 Answer

5 votes

Answer: (0,-3)

Explanation:

Use the point slope form of a line: y = mx = b, where m is the slope and b is the y-intercept

First solve for m:

m = (Y2-Y1)/(X2-X1)

m = (1-0)/(4-3)

m = 1/1 = 1

Using the slope above, plug either point into the equation and solve for b. I used (3,0) but (4,1) would give the same result:

y = mx +b

0 = 1(3) + b

0 = 3 +b

-3 = b

SOLUTION: y-intercept is (0,-3)

User Risyasin
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6.4k points