Find the equation of the line.
1 answer:
Answer:
y=-1/3x-2
Step-by-step explanation:
First off, lets outline that parallel lines have the <u>Same Slope</u>. So we can plug in -1/3 as our slope, or m.
Lets plug in -1/3 as our slope in Point Slope form to find the y intercept. Point slope form should be attached in an image below.
1) Plug slope and points into point slope form:
y+1=-1/3(x+3)
2) Distribute -1/3 to x and 3:
y+1=-1/3x-1
3) Subtract 1 from both sides:
y=-1/3x-2
Now we have our answer is slope intercept form!
Please let me know if you have any questions :)
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Answer:
The solution of given equation are -1 and 5.
Step-by-step explanation:
The given equation is
We need to solve the above equation by finding the zeros of
The vertex form of an absolute function is
where, a is constant and (h,k) is vertex.
Here, h=2, k=-3. So vertex of the function is (2,-3).
The table of values is
x y
0 -1
2 -3
4 -1
Plot these points on a coordinate plane and draw a V-shaped curve with vertex at (2,-3).
From the given graph it is clear that the graph intersect x-axis at -1 and 5. So, zeroes of the function y=|x-2|-3 are -1 and 5.
Therefore the solution of given equation are -1 and 5.
Now solve the given equation algebraically.
Add 3 on both sides.
Add 2 on both sides.
and
and
Therefore the solution of given equation are -1 and 5.
