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Question 243549: Find the slope-intercept equation of the line that has the given characteristics
Slope 4 and y-intercept (0,3)
y=?
help please I have never done this before and I need help with it Thanks
Found 2 solutions by jim_thompson5910, oberobic:
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website!
If you want to find the equation of line with a given a slope of  which goes through the point (0,3), you can simply use the point-slope formula to find the equation:
---Point-Slope Formula---
 where  is the slope, and ) is the given point
So lets use the Point-Slope Formula to find the equation of the line
 Plug in  ,  , and  (these values are given)
 Distribute
 Multiply and  to get
 Add 3 to both sides to isolate y
 Combine like terms.
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Answer:
So the equation of the line with a slope of which goes through the point (, ) is:
which is now in  form where the slope is and the y-intercept is 
Notice if we graph the equation and plot the point (0,3), we get (note: if you need help with graphing, check out this solver)
Graph of through the point (0,3)
We can see that the point lies on the line. Since we know the equation has a slope of and goes through the point (,), this verifies our answer.
Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! The general linear equation is: y = mx + b.
m = slope = change in 'y' divided by change in 'x' = the rise over the run
.
m =4, which is given
.
The y-intercept is the point (0,3). So when x=0, y=3.
.
y = 4x + 3
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You can graph this to see how steep a slope of 4 looks.
.
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Note
a) Positive slope always goes up from lower left to upper right.
b) Negative slope always goes down from upper left to lower right.
c) A horizontal line has slope = 0.
d) A vertical line has an undefined slope because you cannot divide by 0.
.
Done.
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