identify and equation in point-slope form for the line perpendicular to y=-1/2x-7 that passes through (-3,-2)

Mathematics

1 answer:

bazaltina [42]3 years ago

8 0

Answer:

y +2 = 2(x +3)

Step-by-step explanation:

The equation in point-slope form for a line with slope m through point (h, k) is ...

y -k = m(x -h)

The slope of your given line is the coefficient of x, -1/2. The slope of a perpendicular line will be the negative reciprocal of that: -1/(-1/2) = 2. So, you have m = 2, (h, k) = (-3, -2), and your desired equation is ...

y -(-2) = 2(x -(-3)) . . . . . . which can be simplified to ...

y +2 = 2(x +3)

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