The slope Intercept form of the equation of a line that passes through point ( 2.-13) Is y =5x – 3. What is the point-slope form of the equa

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The slope Intercept form of the equation of a line that passes through point ( 2.-13) Is y =5x – 3. What is the point-slope form of the equation for this line?​

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Camila 2 weeks 2021-09-13T14:22:10+00:00 1 Answer 0

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    2021-09-13T14:23:24+00:00

    The point-slope form of the equation for this line is y + 13 = 5(x + 2)

    Step-by-step explanation:

    Let us revise the slope-intercept form and the point-slope form

    of an equation

    • The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept
    • The point-slope form is y-y_{1}=m(x-x_{1}) , where m is the slope and (x_{1},y_{1}) is a point on the line of the equation

    ∵ The slope-intercept form of the equation of a line is y = 5x – 3

    – Compare it with the slope- intercept form above

    ∴ m = 5 and b = -3

    ∵ The line passes through point (-2 , -13)

    x_{1} = -2 and y_{1} = -13

    ∵ The slope of the line m = 5

    – Substitute these values in the point-slope form above

    ∴ y – (-13) = 5(x – (-2))

    y + 13 = 5(x + 2)

    To check your answer let us change it to the slope intercept form

    ∵ y + 13 = 5(x + 2)

    – Simplify the right hand side

    ∴ y + 13 = 5(x) + 5(2)

    ∴ y + 13 = 5x + 10

    – Subtract 13 from both sides

    ∴ y = 5x – 3 ⇒ same given equation

    The point-slope form of the equation for this line is y + 13 = 5(x + 2)

    Learn more:

    You can learn more about the linear equation in brainly.com/question/4326955

    #LearnwithBrainly

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