Question

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

y+3=2/3(x-5)
y+5=(2/3)(x+3)
y-5=2/3(x-3)
y-5=2/3(x+3)

Answer 1

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

Solution:

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

To find: equation of line in point slope form

The equation of line in point slope form is given as:

$y - y_1 = m(x - x_1)$

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