Question bank / Linear functions

Math · AlgebraMedium

A line in the xyxy-plane passes through the points (−3,5)(-3, 5) and (1,−7)(1, -7). What is the yy-coordinate of the yy-intercept of the line?

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Answer: -4

The slope is −7−51−(−3)=−124=−3\frac{-7 - 5}{1 - (-3)} = \frac{-12}{4} = -3. Using y=−3x+by = -3x + b with (1,−7)(1, -7): −7=−3+b-7 = -3 + b, so b=−4b = -4.

A sign error in the slope (using +3+3) gives an intercept of −10-10.

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