SOLUTION: WRITE AN EQUATION FOR EACH LINE
with a slope of 2 and a y-intercept of 4
through (0,-4) and with a slope of 1.5
please help!!
Algebra.Com
Question 100457: WRITE AN EQUATION FOR EACH LINE
with a slope of 2 and a y-intercept of 4
through (0,-4) and with a slope of 1.5
please help!!
Found 2 solutions by jim_thompson5910, checkley71:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
"WRITE AN EQUATION FOR EACH LINE
with a slope of 2 and a y-intercept of 4"
When you have a y-intercept of 4, that means the point (0,4) is on the line
If you want to find the equation of line with a given a slope of which goes through the point (,), 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 4 to both sides to isolate y
Combine like terms and to get
------------------------------------------------------------------------------------------------------------
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 (,), we get (note: if you need help with graphing, check out this solver)
Graph of through the point (,)
and 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.
"WRITE AN EQUATION FOR EACH LINE
through (0,-4) and with a slope of 1.5"
when you have a slope of 1.5, you really have a slope of
If you want to find the equation of line with a given a slope of which goes through the point (,), 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)
Rewrite as
Distribute
Multiply and to get
Subtract 4 from both sides to isolate y
Combine like terms and to get
------------------------------------------------------------------------------------------------------------
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 (,), we get (note: if you need help with graphing, check out this solver)
Graph of through the point (,)
and 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 checkley71(8403) (Show Source): You can put this solution on YOUR website!
Y=mX+b IS THE LINE EQUATION.
Y=2X+4 THIS EQUATION HAS A SLOPE (m) OF 2 & A Y INTERCEPT (b) OF 4.
------------------------------------------------------------------------
-4=-1.5*0+b
b=-4 FOR THE Y INTERCEPT.
Y=-1.5X-4 ANSWER.
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