Answer:
y = − 1
Hope this helps!
Step-by-step explanation:
Alright so this is our equation:
y − 3 = 2 ( x − 1 )
We will substitute:
x = − 1
So now our equation looks like this:
y − 3 = 2 ( −1 − 1 )
Now we will get rid of the parentheses:
y − 3 = − 2 − 2
Solve the left side:
y − 3 = − 4
Now add 3 on both sides to find out what y is:
y − 3 = − 4
+3 +3
Add:
y = − 1
Yay! We found our answer! Nice job everyone!
4) You know slope-intercept form is y=mx+b. So using these two given points, you can find the slope!
(-8,5) (-3,10) [Use the y1-y2 over x1-x2 formula to solve for slope]
10 - 5 5
--------- = ----- = 1
-3-(-8) 5
Hurray! You got a slope of one. Now substitute this back into your original equation:
y=mx+b --> y=1x+b
Next, we find what our "b" is, or what our y-intercept is:
Using one of the previous points given, substitute them into the new equation:
[I used the point (-3, 10) ]
y=1x+b
10=1(-3)+b SUBSTITUTE
10=-3+b MULTIPLY
10=-3+b
+3 +3 ADD
----------
13=b SIMPLIFY
So, now we have our y-intercept. Use this and plug it into the equation:
y=1x+b --> y=1x+13
y=1x+13 is our final answer.
5) So for perpendicular lines, your slope will be the opposite reciprocal of the original slope. (Ex: Slope is 2, but perpendicular slope is -1/2)
We have the equation y= 3x-1, so find the reciprocal slope!
--> y=-1/3x-1
Good! Now we take our given point, (9, -4) and plug it into the new equation:
y=-1/3x-1
-4=-1/3(9)+b SUBSTITUTE and revert "-1" to "b", for we are trying to find the y- -4=-3+b intercept of our perpendicular equation.
+3 +3 ADD
--------
-1=b SIMPLIFY
So, our final answer is y=-1/3x+(-1)
6) I don't know, sorry! :(
Answer:
261
Step-by-step explanation:
I took each number and divided each of them by 9 until I got a whole number with no decimals.
261 ÷ 9 = 29
Answer:
D. The value of the hundreds digit is 10,000 times the value of the hundredths digit.
Step-by-step explanation:
all of the other options are incorrect
0.01 x 10,000 = 100
