Question

Point slope form parallel to y=-2/3x+8 that passes though (4,-5)

Answer 1

`y + 5 = - (2)/(3) (x - 4)`

Step-by-step explanation

The given line has equation:

`y = - (2)/(3) x + 8`

The slope of this line is;

`m=-(2)/(3)`

The line that is parallel to this line also has the same slope.

If the line passes through (4,-5), then the point-slope form is given by;

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

We substitute the slope and the point to get,

`y + 5 = - (2)/(3) (x - 4)`