Question

A line passes through the point (-9, 2) and has a slope of -2/3​

Answer 1

`y-2=-(2)/(3) (x+9)`

Explanation:

Equation of line in point slope form is

`y-y_1=m(x-x_1)` ------------(1)

Here

`m=-(2)/(3) \ \ and \ \ (x_1, y_1) = (-9, 2)`

Substituting values in equation (1)

`y-2=-(2)/(3) (x+9)` This is equation of line in point-slope form

Simplifying it further

`y=-(2)/(3)x - 6 + 2`

`y=-(2)/(3)x - 4` This is equation of same line in slope-intercept form