Plz HELP ASAP Given the equation -5x+2y=-10 what is the Equation of the line perpendicular to the line that goes through the poi

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Plz HELP ASAP

Given the equation -5x+2y=-10 what is the Equation of the line perpendicular to the line that goes through the point (-5,1)

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    2021-09-19T04:00:57+00:00

    Answer:

    The equation of the perpendicular line would be y = -2/5x – 1

    Step-by-step explanation:

    In order to find this line, we must first find the slope of the original line. We do this by solving for y.

    -5x + 2y = -10

    2y = 5x – 10

    y = 5/2x – 5

    This shows us a slope of 5/2. TO find the perpendicular slope, we use the opposite and reciprocal. This means we negative 5/2 to get -5/2 and then we flip it to get -2/5. Now that we have this, we can use the slope and the point in point-slope form to get the equation.

    y – y1 = m(x – x1)

    y – 1 = -2/5(x + 5)

    y – 1 = -2/5x – 2

    y = -2/5x – 1

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