Y=mx+b
m=slope
b=yint
find slope
slope between (x1,y1) and (x2,y2) is (y1-y2)/(x1-x2)
given
(-3,5) and (1,1)
slope=(5-1)/(-3-1)=4/-4=-1
y=-1x+b
find b
when x=1, then y=1
1=-1(1)+b
1=-1+b
add 1
2=b
y=-x+2
The answer is 5
Here are the steps:
First off, we will be using the distance formula of

So we have the ordered pairs of (3,1) and (6,5)
Once you plug them into the formula it should look like this:

Now we do the math inside the parenthesis and end up with:

Then you multiply by the power and simplify to get:

And the

=5
So your answer is
5
Part 1
<h3>Answer: 13</h3>
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Explanation:
We'll replace every copy of x with -3. Then use PEMDAS to simplify.
f(x) = -2x+7
f(-3) = -2(-3)+7
f(-3) = 6+7
f(-3) = 13
===========================================================
Part 2
<h3>Answer: -11</h3>
---------------------
Explanation:
We work backwards in a sense compared to what part 1 did. Instead of finding f(x) based on x, we determine what x must be for a given f(x).
We'll replace f(x) with 29 and solve for x like so
f(x) = -2x+7
29 = -2x+7
-2x+7 = 29
-2x = 29-7
-2x = 22
x = 22/(-2)
x = -11
Note how if you replaced x with -11, we'd get,
f(x) = -2x+7
f(-11) = -2(-11)+7
f(-11) = 22+7
f(-11) = 29
which helps confirm we have the correct answer.
Answer:
1st one m=0
y= <u>0.49875311x / cm </u>
<u>No horizonal asymptotes</u>
<u>x= 1/2 + 2.005 mcy</u>
<u />
<u>2nd one is </u>
<u>slope 1/2</u>
<u>y intercept (0,2)</u>
<u />
<u>x y</u>
<u>-4 0</u>
<u>0 2</u>
<u />
Step-by-step explanation:
for 2
starting point ay y 2 make a point
then rise over run
go up 1 and to the right 2 and point , then up 1 and to the right 2 and point
there is your graph
Answer:
-15/4
Step-by-step explanation:
slope = change in y / change in x = (-7 - 8) / (7 - 3) = -15/4