Write an equation of a line passing through A(2, -2) and B(5,7)
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3x-y-8=0
Step-by-step explanation:
Since slope of line passing through two points (x1,y1) and (x2,y2) is m= y2- y1/ x2-x1
m= 7+2/ 5-2
= 3
Therefore, the slope of the line is 3.
Now use the slope and either of the two points to find the y-intercept.
y=mx+b
7=3*5+b
b= -8
Write the equation in slope intercept form as:
y=mx+b
y=(3)x -8
y=3x - 8
3x-y-8=0
Hence, the equation of the line is 3x-y-8=0
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