Math
posted by Jon .
Write an equation in slopeintercept form for the line that passes through (3,5) and (2,1).
y2y1/x2x1
15/23
4/5= slope
y=mx+b
y=4/5(3)+b
2=2.4+b
4.4= yintercept
y= 4/5x+4.4 (answer)

Rewrite the slope as m = 4/5. 4/5 is the same thing but looks awkward.
y = (4/5) x + b
5 = [(4/5)*3] + b
5 = 12/5 + b
b = 13/5
y = (4/5)x + 13/5 
Ok, we lmow that the slope is 4/5.
y=mx+b
y=4/5(3)+b
2=2.4+b
subtract 2.4 from both sides
4.4 which is how I got the yintercept
y= 4/5x+4.4
13/5 = 2.6 not 4.4 
In solving for b, you took the xvalue from one point (x=3) and, for y, you used the x value from the other point (x=2) instead of y. You should have used y=5, as I did in my derivation. You have to use the x and y values of one known point to get the line to pass though that point.
Respond to this Question
Similar Questions

Math/Algebra do u know how to do slope intercept?
The following problems are in slope,point slope, and slope intercept forms of a line. Could you check these thanks. Find the slope intercept form of a line that passes through these two points (4,4) and (2,1) Answer: y= 1/2x2 Find … 
algebra[please check]
in questions 1 and 2, write an equation of the line in slopeintercept form. 1. the slope is 4/3; the yintercept is 2. 2. the slope is 0; the yintercept is 5. my answers: 1.y=4/32 2. y=5 ______________________ write an equation … 
math
I have a few question so I will number them off. Please answer them for me I have a test tommorow and I am sure this can help other people too. 1.How do you make an equation that passes through a yintercept and a certain point in … 
math
i have more than one question so if u no any of the answers please tell me 1.) write the pointslope form of the equation of the line with slope 2 passing through the point ( 5, 9). 2.) write the pointslope form of an equation … 
Algebra2
Write an equation for the line in point/slope form and slope/intercept form that has the given condition. Help? 
Algebra..
HELP. Problems 4  7: Write an equation for the line in point/slope form and slope/intercept form that has the given condition. 4. Slope = 3/2 and passes through the origin. 5. xintercept = 4 and yintercept = 3 
Algebra2
Help? Write an equation for the line in point/slope form and slope/intercept form that has the given condition. 4. Slope = 3/2 and passes through the origin. 5. xintercept = 4 and yintercept = 3 
geometry
I would love for someone to check my work on the seven problems that I did. I would be eternally grateful. I am going to list my problems and answers. Even if you only want to check one of them, that would be great. 1. Write an equation … 
ALGEBRA
Solve for y intercepts 7x+y=2 Answer: Y = 2 7x + 2y = 4 Answer: Y = 2  If (3,5) is a point on the graph for the equation in the form y=mx+7, then m=? 
Math
1. Use pointslope form to write the equation of a line that has a slope of 2/3 and passed through (3,1). Write your final equation in slopeintercept form. Is the answer y=2/3+1 2. Write an equation of the line that passed through …