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If (y=8x+b) and (y=-6x+13) cut the (y)-axis at the same point, what is (b)?

Answer and explanation

Correct answer: 13

In the form y=mx+c, the y-intercept is c because substituting x=0 gives y=c. The first line has y-intercept b, while the second has y-intercept 13. Since they meet the y-axis at the same point, b=13. The values 8 and −6 are slopes, not y-intercepts. Exam tip: put x=0 to find a y-intercept.

Related tags

Linear EquationsY-InterceptSlopeCoordinate GeometryParametersSlope And Y InterceptIntroduction To PolynomialsMathematics

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