SOLUTION: Find the equation of each line. Write each answer in slope-intercept form. The line through (1,4) with slope 1/4 This is what I came up with. y- 1 = 1/4 {x - 4} y - 1 = 1

Algebra ->  Linear-equations -> SOLUTION: Find the equation of each line. Write each answer in slope-intercept form. The line through (1,4) with slope 1/4 This is what I came up with. y- 1 = 1/4 {x - 4} y - 1 = 1      Log On


   

Question 5097: Find the equation of each line. Write each answer in slope-intercept form.
The line through (1,4) with slope 1/4
This is what I came up with.
y- 1 = 1/4 {x - 4}
y - 1 = 1/4x - 1
Answer is : y = 1/4 x + 1
I'm not sure if this is correct or not. I am so struggling with algebra. Thanks to all who help. I greatly appreciate it.
Found 2 solutions by rapaljer, lotanez:
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation of each line. Write each answer in slope-intercept form.
The line through (1,4) with slope 1/4
This is what I came up with.
y- 1 = 1/4 {x - 4}

The last line is the error! The value of the point is x=1 and y=4. You got them backwards. Should be:

y-+4+=+%281%2F4%29+%28x-1%29+
y+-+4+=+%281%2F4%29%2A+x+-+1%2F4+

Add +4 to each side:
y+-+4+%2B+4+=+%281%2F4%29%2A+x+-+1%2F4+%2B+4
y+=+%281%2F4%29%2A+x%2B15%2F4+

R^2 at SCC

Answer by lotanez(23) About Me  (Show Source):
You can put this solution on YOUR website!
slope intercept form: y= mx + b
m= slope
b= the point where the line intercepts with the y-axis (the y value)
The line is going through or "intercepts" the y-axis at points (1,4).
The given slope is 1/4.
Just fill in what we know into the equation:
m(slope)=1/4
b(intercept point on the y-axis)=4 :we get this from the given points (1,4)


y=1/4x + 4
Hope this helps.
Don't get frustrated, the algebra will all come together. Its like a foregin language and you will get it, just keep practicing.
On this website, the teacher explains it very well.
http://www.tlab2.soe.vcu.edu/arawls/LinearEquations/slopeintercept.htm