Step 1: Find the slope:
This gives you 
, but we need to find b.
To find b, substitute in one (x,y) pair and it doesn't matter which one. I'll go with (4,-2):
![\begin{aligned}-2&=-\dfrac{3}{2}(4)+b\\[0.5em]-2&=-6+b\\[0.5em]4&=b\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D-2%26%3D-%5Cdfrac%7B3%7D%7B2%7D%284%29%2Bb%5C%5C%5B0.5em%5D-2%26%3D-6%2Bb%5C%5C%5B0.5em%5D4%26%3Db%5Cend%7Baligned%7D)
Now take that b-value and plug in into the slope-intercept form:
It's always a good idea to toss in the other x-value from the other point, to make sure it checks out.
Answer:
(1/6)^2
Step-by-step explanation:
We want to find the fraction that is equivalent to 1/36.
Let us look at each of them individually:
a. 
b. 
c. 
d. 
Therefore, the correct answer is c.
8.454 is 3 tenths more than 8.154
3.625 is 2 and 2 tenths more than 1.425
Place values after the decimal point are tenths, hundredths, thousandths, ten thousandths...so on.
So 3 tenths looks like this 0.30 ⇒ 3 is in the tenths place. When you say 3 tenths more, it is a clue that the operation to be done is addition. thus,
8.154
<u>+ 0.30
</u> 8.454 * in addition or subtraction, the decimal points must be aligned to avoid confusion.
2 and 2 tenths is like this 2.20 ⇒ 1st 2 is in the ones or units place and the 2nd 2 is in the tenths place. Again it states more than so addition must be done.
1.425
<u>+ 2.20</u>
3.625
<u>
</u>
Answer:
b=8.5cm
Step-by-step explanation:
tanx (this represents tan theta, it's just easier to type) is equal to 0.6 and since the tanx ratio is opp/adj, we know that opp/adj = 0.6
To find what b is (adjacent as it is adjacent to the angle being used and it is not the hypotenuse), we just have to rearrange.
0.6=5.1/adj
to solve for adj, we can switch 0.6 and adj. (This works because to get adj by itself on one side you would multiply it to the other side and then divide 0.6 from both sides --> simple algebra)
so then you have
adj=5.1/0.6
adj=8.5cm
(if you want to check your solution you can use pythagoeran theorem, a^2+b^2=c^2) and sub everything in and make sure all the numbers equal the right thing!
