I put 41 points. What is the equation of the line that passes through the points (−2, 1) and (1, 10)? 3x − y = −7 3x − y = −5 3x − y = 5 x + 3y = −5
Mathematics · Middle School · Tue Nov 03 2020
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First for finding the equation of the line that passes through the points (−2, 1) and (1, 10) we wanna find the slope by using the formula
Slope= m= y(2)-y(1)/x(2)-x(1)…….(1)
Given the points, we have x(1)=-2,y(1)=1,x(2)=1, and y(2)=10.
Putting the values into equation(1)
m=(10-1)/(1-(-2))
m=9/3=3
The slope of the line is 3 so the m in y=mx+b is 3. by using the formula at point (-2,1)and m=3.
1=3(-2)+b
1=-6+b
b=7
So the equation of the line that passes through the points (−2, 1) and (1,10)is
y=mx+b (putting values m=3 and b=7)
y=3x+7 or you can say 3x-y=-7answer .