a line has the slope of 7 and includes the points (-4,-2) and (-5,k). what is the value of k? k=

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a line has the slope of 7 and includes the points (-4,-2) and (-5,k). what is the value of k? k=

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    2021-10-13T22:37:44+00:00

    If slope ofthe line is m=7, then the equation of the line is

    y=7x+b.

    Since line passes through the point (-4,-2), its coordinates satisfy the equation of the line:

    -2=7\cdot (-4)+b,\\ \\b=-2+28=26.

    The equation of the line is

    y=7x+26.

    Point (-5,k) lies on the line, then its coordinates satisfy  the line equation:

    k=7\cdot (-5)+26=-35+26=-9.

    Answer: k=-9.                                                

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