Using coordinates of the labeled points to find a point slope equation of the line
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Answer:
y +4= -3 ( x-3)
Step-by-step 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)
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!