SOLUTION: 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
Algebra.Com
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.
------------------------------------------------------------------------------------------------------------
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
.
You can graph this to see how steep a slope of 4 looks.
.
.
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.
RELATED QUESTIONS
Help!!
Find the slope intercept equation of the line that has given characteristics.... (answered by unlockmath)
find the slope intercept equation of the line that has the given characteristics
Slope... (answered by ewatrrr)
Please can someone help!!
Find the slope-intercept equation of the line that has the... (answered by nerdybill)
find the slope-intercept equation of the line that has the given characteristics. slope... (answered by RAY100)
Find the slope-intercept equation of the line that has the given characteristics.
slope... (answered by Alan3354)
find the slope-intercept equation of the line that has the given characteristics: Slope 6 (answered by Alan3354)
Find the slope-intercept equation of the line that has the given characteristics. Slope... (answered by ewatrrr)
Find the slope intercept equation of the line that has the given characteristics.
Slope... (answered by checkley77)
find the slope-intercept equation of the line that has given characteristics. slope 0 and (answered by Fombitz)
Find slope intercept equation of the line that has characteristics.
slope 3 and... (answered by scott8148)