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enyata [817]
3 years ago
12

Write an equation in point slope form for the line through the given point with the given slope (-3,5); m=2/3

Mathematics
1 answer:
Oksanka [162]3 years ago
7 0

Option D

The equation in point slope form for the line through the given point with the given slope (-3,5); m=2/3 is y - 5 = \frac{2}{3}(x + 3)

<h3><u>Solution:</u></h3>

Given that line through the given point (-3,5) with slope m = \frac{2}{3}

To find: equation of line in point slope form

<em><u>The equation of line in point slope form is given as:</u></em>

y - y_1 = m(x - x_1)

Where "m" is the slope of line

Given point (x_1, y_1) = (-3, 5)

Substitute the given point and given slope in point slope form,

y - 5 = \frac{2}{3}(x - (-3))\\\\y - 5 = \frac{2}{3}(x + 3)

Thus equation of line in point slope form is found. Option D is correct

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