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If the line (y=(3k-4)x+2) has slope (17), what is (k)?

Answer and explanation

Correct answer: 7

In the slope-intercept form \,y=mx+c\,, the coefficient of \,x\, is the slope. Here, the slope is \,3k-4\,. Therefore, \,3k-4=17\,. Adding 4 to both sides gives \,3k=21\,, and dividing by 3 gives \,k=7\,. If \,k=8\,, the slope would be \,20\,, not 17. Exam tip: In \,y=mx+c\,, identify the coefficient of \,x\, as the slope.

Related tags

SlopeY-InterceptLinear EquationsParameterCoordinate GeometrySlope And Y InterceptIntroduction To PolynomialsMathematics

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