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 = (2)/(3)(x + 3)`

Solution:

Given that line through the given point (-3,5) with slope
`m = (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 = (2)/(3)(x - (-3))\\\\y - 5 = (2)/(3)(x + 3)`

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