A line goes through the points (-6, -8) and (12, 7). a) What is the slope of the line? Show your work b) Write the equation of

Question

A line goes through the points (-6, -8) and (12, 7).
a) What is the slope of the line? Show your work
b) Write the equation of the line in point-slope form. Show your work
c) Write the equation of the line in slope-intercept form. Show your work.

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Answers ( No )

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    2021-11-26T09:28:12+00:00

    The formula of a slope:

    m=\dfrac{y_2-y_1}{x_2-x_1}

    We have (-6, -8), (12, 7).

    Substitute:

    m=\dfrac{7-(-8)}{12-(-6)}=\dfrac{7+8}{12+6}=\dfrac{15}{18}=\dfrac{5}{6}

    The slope-point form:

    y-y_1=m(x-x_1)

    We have m = 5/6 and (12, 7).

    Substitute:

    y-7=\dfrac{5}{6}(x-12)

    The slope-intercept form:

    y=mx+b

    y-7=\dfrac{5}{6}(x-12)\\\\y-7=\dfrac{5}{6}x-\dfrac{5}{6}\cdot12}\\\\y-7=\dfrac{5}{6}x-\dfrac{5}{1}\cdot2\\\\y-7=\dfrac{5}{6}x-10\qquad|+7\\\\y=\dfrac{5}{6}x-3

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