Question 6794: I am having a real hard time with algebra and need help with the following problem:
Find the equation for the line that passes through the indicated pair of points
(-2,-2)and(7,25)
Thanks for being there when needed
Answer by prabhjyot(165) (Show Source):
You can put this solution on YOUR website! the line that passes through the points(-2,-2)and(7,25)
Equation of a straight line is y=mx+c --->(1)
where m is the slope of the line
T0 find slope we use the formula
m = y1-y2/x1-x2
Given:(x1,y1)= (-2,-2)
(x2,y2) = (7,25)
putting these values in the formula
m= -2-25/-2-7
= -27/ -9
m=3
putting the value of m in equation (1)
we get
y=3x+c
Now we donot have the value of c( which gves the y-intercept)
To find the value of c we will plug in the value of m and x and y from any particular point say (-2,-2)
-2 = 3(-2)+c
-2 +6 =c
4 =c
so c =4
then the equation of line must be y=3x+4
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