Question 157640This question is from textbook algebra 2
: write an equation in slope-intercept form for the line that satisfies the following condition. slope 1/3and passes through (3,9)
This question is from textbook algebra 2
Answer by Electrified_Levi(103)   (Show Source):
You can put this solution on YOUR website! Hi, Hope I can help
.
write an equation in slope-intercept form for the line that satisfies the following condition. slope  and passes through (3,9)
.
The slope intercept form of an equation is equal to  , where "m" is the slope, "b" is the y intercept.
.
We know the slope is , so we can replace "m" with in our equation
.
, becomes  , now we have to find "b"
.
We now a point on the line, point (3,9), and because points are given as (x,y), we can use the point to solve for "b"
.
If the point is (3,9)(x,y), all we need to do is replace "x" and "y" in our equation, with the numbers(replace "x" with "3", replace "y" with "9")
.
, becomes 
.
= 
.
=  , to find "b" we will move "1" to the left side
.
= 
.
=  = 
.
We found that "b" = "8", we can replace "b" with "8" in our equation
.
= 
.
is the slope-intercept form/equation of the line
.
We can check our answer by replacing "x" and "y" with (3,9)(x,y) in our equation
.
= 
.
= 
.
=  =  (True)
.
We can also find that the y intercept(where the line hits the y-axis) is (0,8), another point on the line,
.
We can check by replacing "x" and "y" with (0,8)(x,y),
.
= 
.
= 
.
=  =  (True)
.
The slope-intercept form/equation of the line is
.
Hope I helped, Levi
|
|
|
