Write the equation of the line passing through points ( -2,-5) and (1,1)

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Write the equation of the line passing through points ( -2,-5) and (1,1)

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RuslanHeatt 7 months 2021-08-01T16:29:34+00:00 1 Answers 4 views 0

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    2021-08-01T16:31:09+00:00

    Answer:

    The equation of the line is:

    y=2x-1

    Step-by-step explanation:

    Given the points

    • (-2, -5)
    • (1, 1)

    Finding the slope between the points

    \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

    \left(x_1,\:y_1\right)=\left(-2,\:-5\right),\:\left(x_2,\:y_2\right)=\left(1,\:1\right)

    m=\frac{1-\left(-5\right)}{1-\left(-2\right)}

    m=2

    We know the slope-intercept form of the line equation

    y=mx+b

    where m is the slope and b is the slope-intercept form

    substituting the value m=2 and the point (-2, -5) to find the b-intercept

    y=mx+b

    -5 = 2(-2) + b

    b = -5+4

    b = -1

    Now, substituting m=2 and b=-1 in the slope-intercept form to get the equation of a line

    y=mx+b

    y=2x+(-1)

    y=2x-1

    Thus, the equation of the line is:

    y=2x-1

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