SOLUTION: (1/4,-1/2)& (3/4,4) what is the equation of the line? y=

Question 313160: (1/4,-1/2)& (3/4,4)
what is the equation of the line?
y=
Found 2 solutions by texttutoring, solver91311:
Answer by texttutoring(324) (Show Source): You can put this solution on YOUR website!
Use the slope equation.

m=(y2-y1)/(x2-x1) with x1=1/4, y1=-1/2 and x2=3/4, y2=4

m = (4-(-1/2)) / (3/4 - 1/4)
m = (9/2) / (2/4)
m = (9/2)*(4/2)
m = 36/4
m=9

Now use y=mx+b, with y=4, x=3/4 and m = 9. Solve for b.

y=mx+b
4 = 9(3/4) + b
4 = 27/4 + b
4 - 27/4 = b
16/4 - 27/4 = b
-11/4 = b

The equation of the line is:

y = 9x -11/4
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Use the two-point form of the equation of a line:

where and are the coordinates of the two given points.

Once you substitute the given values and simplify by performing any indicated arithmetic, you will have an equation of the desired line. You cannot find the equation of any line because any given line has an infinite number of equivalent representations. You did not specify what form your answer needs to take, so you need to check with your instructor to determine if the simplfied two-point form is acceptable, or if you need to put your equation into another form, typically slope-intercept () or standard form, (), and then rearrange your equation appropriately.

John

RELATED QUESTIONS
find an equation of the line containing the given pair of points. (1/4,-1/2) and (3/4, (answered by nerdybill)
What is the slope of the line represented by the equation y = �1/2x + 1/4? Choices- (answered by fractalier)
What is the equation of the line that (1) Has y-intercept -4 (2) Is parallel to the (answered by Alan3354)
Find an equation of the line contain the given pair of points. (1/4,-1/2)and 3/4,6).... (answered by solver91311)
What is the equation of the line passing throughhe point (2,0)? y=-2x-1 y=(1/2)x-1... (answered by jim_thompson5910)
what is an equation of the line that passes through the point (1,4) and has a slope of 3? (answered by josmiceli)
What are the slope and y intercept of the line with the equation y+1/2=1/3(x-4)... (answered by mathgotserved)
A circle with the equation (x + 4)2 + (y - 3)2 = 9 is reflected over the line y = -1.... (answered by ewatrrr)
Find an equation of the line containing the given pair of points. (1/4 , -1/2) and (3/4 , (answered by lwsshak3)