What is the point slope form of (7,-4) and (-1,3)
2 answers:
Answer:
y-3 = -7/8(x+1)
Step-by-step explanation:
The slope of a line given two points is given by
m = (y2-y1)/(x2-x1)
= (3 - -4)/(-1 -7)
= (3+4) / (-1-7)
= 7/ -8
= -7/8
The point slope form of a line is
y-y1 = m(x-x1)
y - 3 = -7/8( x - -1)
y-3 = -7/8(x+1)
First, lets find the slope.
Slope Formula: y2-y1/x2-x1
= 3-(-4)/-1-7
= 7/-8
= -7/8
Point slope form: y - y1 = m(x - x1)
We can use one point to substitute y1 and x1 with. We can also substitute m with the slope. Lets use the point (7,-4) and the slope of -7/8 to solve.
y - (-4) = -7/8(x - 7)
y + 4 = -7/8(x - 7)
Best of Luck!
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