Question

Using coordinates of the labeled points to find a point slope equation of the line

Answer 1

The slope in all answer choices is 3 or -3.

Since the line is going down, the slope is going to be negative (-3).

Point slope form: y - y1 = m(x - x2)

We are given a point in the question so use it to fill in the equation.

y + 4 = -3(x - 3)

Best of Luck!

Answer 2

y +4= -3 ( x-3)

Explanation:

The point slope form of a line is

y-y1 = m(x-x1)

The point requested is (3,-4)

y - -4= m ( x-3)

y +4= m ( x-3)

The slope of the line is positive since it goes from the top left to the bottom right

The slope can be found from (0,5) and (3,-4)

m = (y2-y1)/(x2-x1)

= (5 - -4)/(0-3)

= (5+4)/(0-3)

= 9/-3

= -3

y +4= -3 ( x-3)