1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AveGali [126]
3 years ago
10

Write an equation of a line that is perpendicular to the line y = 3/2x + 3 and goes through the point (-3, -8). Hint: Use the po

int-slope form. Then convert your answer into slope-intercept form.
Mathematics
1 answer:
JulijaS [17]3 years ago
8 0
Point-slope form looks like this: y - k = m(x - h) where m is the slope, k is the y-value and h is the x-value. For (-3, -8), -3 would replace h and -8 would replace k.

Slope-intercept form looks like this: y = mx + b where m is the slope and b is the y-value.

To solve the problem we must plug in the given coordinate and slope to the point-slope formula then change the point-slope form into slope-intercept form. But first we need to know what the slope is.

If a line is perpendicular to another line, their slopes are negative reciprocals of each other. So with the line y = 3/2x + 3, the slope for another line that is perpendicular has to be -2/3 because we switched the numerator and denominator and made it from positive to negative.

Now that we know the slope and the given coordinate, we can start solving.

Plug the givens into the point-slope formula y - k = m(x - h).
y - (-8) = -2/3(x - (-3))
y + 8 = (-2/3*x) - (-2/3*-3)
y + 8 = -2/3x + 2 Now we can convert the equation to slope-intercept form.
y + 8 - 8 = -2/3x + 2 - 8 Remember that what we do on one side we must do one the other, so we subtract 8 on the left <em>and </em>right to get y by itself.
y = -2/3x - 6 This equation is now in slope-intercept form y = mx + b, so this is the final result.

I hope this explanation made sense. If there is anything that I made look confusing, feel free to tell me and I'll try my best to explain!
You might be interested in
If U = {all positive integers) and A = {x|x EU and x is an odd positive integer}, which describes AC?
Galina-37 [17]

Answer:

last choice

Step-by-step explanation:

If we are looking at positive integers and we take out the odd ones, the only one's that are left are the even ones.

So last choice.   (Also I assume AC meant the complement of A)

7 0
3 years ago
Read 2 more answers
What is 1/15 as a decimal
ElenaW [278]
1/15 as a decimal would be 0.6666666......

Or you can round that off to 0.67 



7 0
3 years ago
Read 2 more answers
PLS HELP ASAP PLZ PLZ PLZ
KIM [24]
I am unsure about the very last problem but I can help with the first two

1) (y+1)+4

If we combine the numbers 1 and 4, we get +5 and can isolate the numbers from the variable.

This would give us

y + 5 =

2) (6*r)*7

remember that we do not have to explicitly state 6*r

Instead, we can write it as 6r

this helps us get rid of the parentheses

now we can write it as 6r * 7=

I hope this helps!:)

6 0
2 years ago
Find the value of 21 + 4(32 - 5).<br><br> 37<br> 25<br> 100
bija089 [108]
21+4(32-5)=448


I think it’s 448
4 0
2 years ago
Read 2 more answers
What is the place value of the 4 in 4.09?
MaRussiya [10]

Answer:

B: Ones.

Step-by-step explanation:

Because this number is 4.09, and the decimal is right next to the 4, that means that it is in the ones place. Decimals are always adjacent on the right to the ones place.

5 0
2 years ago
Other questions:
  • Simplify.
    11·2 answers
  • How do you solve <br> 2(3-x)^1/3-4=20
    5·1 answer
  • Jenny wants to give her 14-year-old daughter $20,000 when she turns 18. How much does she need to put in the bank now if the int
    5·1 answer
  • Bring the fraction 12/y−x to a denominator of x−y<br><br> i would really appreciate it thx
    9·1 answer
  • A car rental agency charges $40 per day for the first 7 days, and $35 a day for each day after that. How much would joe be charg
    8·2 answers
  • HELP PLEASE PLEASE PLEASE!!The function f(x) = 4x – 8 is reflected across the y-axis, resulting in a new function, g(x). Write t
    6·1 answer
  • Name a set of vertical angles in the image below:
    10·2 answers
  • 2. Amita decides that she wants the molds to have a
    10·1 answer
  • Can you please help thanks
    8·1 answer
  • 4 2/5 divided by 3 1/7 euals plz give mixed number answer ty
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!