SOLUTION: Find an equation of the line containing the given pair of points. (1/4, -1/2) and (3/4,2).

Question 246192: Find an equation of the line containing the given pair of points. (1/4, -1/2) and (3/4,2).
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
Our two points are:
(1/4, -1/2) = (x1, y1)
(3/4, 2) = (x2, y2)
We know y = mx + b
.
m = rise/run = change in y divided by change in x
change in y = y2 - y1 = 2 - (-1/2) = 2 + 1/2= 2.5
change in x = x2 - x1 = 3/4 - 1/4 = 1/2 = .5
m = 2.5/.5 = 5
.
We are given the points above, so we can substitute into y=mx+b
2 = 5(3/4) + b
2 = 15/4 + b
2 - 15/4 = b
b = 2 - 15/4 = 8/4 - 15/4 = -7/4 = -1.75
,
We also can use the other equation to find b as a check.
-1/2 = 5(1/4) + b
-.5 = 1.25 + b
-1.75 = b
.
.
We can graph this line:

RELATED QUESTIONS
Find an equation of the line containing the given pair of points (1/4, -1/2) and (3/4,... (answered by stanbon)

Find an equation of the line containing the given pair of points (1/4, -1/2) and (3/4,... (answered by jim_thompson5910)

Find an equation of the line containing the given pair of points. (1/4 , -1/2) and (3/4 , (answered by lwsshak3)

find an equation of the line containing the given pair of points. (1/4,-1/2) and (3/4, (answered by nerdybill)

Find an equation of the line containing the given pair of points (-7,-1) and... (answered by nyc_function)

Find an equation of the line containing the given pair of points. 1. (2, 5) and (4,7) (answered by MathLover1)

Find an equation of the line containing the given pair of points. Use function notation... (answered by Alan3354)

find an equation of the line containing the given pair of points.... (answered by nerdybill)

Find an equation of the line containing the given pair of points: (-2 ,3) and (-4, 6). (answered by Alan3354)