I NEED THE ANSWER PLZ FAST PLZ Given the equation-4x+2y=-2 what is the Equation of the line perpendicular to the line that goes

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I NEED THE ANSWER PLZ FAST PLZ

Given the equation-4x+2y=-2 what is the Equation of the line perpendicular to the line that goes through the point (2,-2)

Given the equation 3x+5y=-15 what is the Equation of the line perpendicular to the line that goes through the point (-3,-5)

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    2021-09-19T04:11:23+00:00

    Answer:

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

    -4x + 2y = 2

    2y = 4x + 2

    y = 2x + 1

    This shows us a slope of 2. TO find the perpendicular slope, we use the opposite and reciprocal. This means we negative 2 to get -2 and then we flip it to get -1/2. 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 + 2 = -1/2(x – 2)

    y + 2 = -1/2x + 1

    y = -1/2x – 1

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