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
GREYUIT [131]
2 years ago
5

Write the Slope-Intercept and Point-Slope forms of the line passing through the point (-3, 2) and having a slope of -4/5

Mathematics
1 answer:
weeeeeb [17]2 years ago
8 0

Answer:

slope-intercept: y=\frac{-4}{5} x-\frac{2}{5}

point-slope: y-2=\frac{-4}{5} (x+3)

Step-by-step explanation:

The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.

The point-slope form of a line is written as y - y1 = m(x - x1), where (x1, y1) is a given point and m is the slope.

Here, we see that the slope is -4/5, which means that m = -4/5. Since we're given a point (-3, 2), let's go ahead and just write the point-slope form already. (x1, y1) = (-3, 2) so x1 = -3 and y1 = 2. Then:

y - y1 = m(x - x1)

y - 2 = (-4/5) * (x + 3)

y-2=\frac{-4}{5} (x+3)

Now, we want to find the slope-intercept form, so we need to figure out the y-intercept. Well, first, let's plug in what we know:

y = mx + b

y = (-4/5)x + b

Any point on this line will satisfy the above equation. Since (-3, 2) is on this line, if we plug -3 in for x and 2 in for y, the equation should hold true, so we can solve for b:

y = (-4/5)x + b

2 = (-4/5) * (-3) + b

2 = 12/5 + b

b = -2/5

So, the y-intercept is -2/5. Then the slope-intercept form is:

y=\frac{-4}{5} x-\frac{2}{5}

Thus, our two equations are:

slope-intercept: y=\frac{-4}{5} x-\frac{2}{5}

point-slope: y-2=\frac{-4}{5} (x+3)

You might be interested in
The histogram shows how many pairs of sneakers are on sale at the local shoe store. How
snow_lady [41]

Answer: 22

Step-by-step explanation:

3 0
2 years ago
Please help:)I’m not good at math and need to get this done ASAP
german

Answer:

<em>25</em><em> </em>

Step-by-step explanation:

let's solve,

=》

5 {}^{ \frac{ - 5}{2} }  \times 5 { \frac{9}{2} }^{}

=》

{5}^{ \frac{ - 5}{2} +  \frac{9}{2}  }

=》

5 {}^{ \frac{4}{2} }

=》

5 {}^{2}

=》

25

<em>glad</em><em> </em><em>to</em><em> </em><em>help</em><em> </em><em>you</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em>

8 0
3 years ago
I need help please someone
emmasim [6.3K]
<span>Anna learns in her science class that the human eye blinks an average of 4,200,000 times a year. What is this number expressed in scientific notation?</span>
4 0
3 years ago
Vanessa received a $12,000 loan from the bank to buy a motorcycle. She will repay the loan to the bank with an $300 monthly paym
STatiana [176]

Answer:

40 months

Step-by-step explanation:

It will take Vanessa 40 months or 3 years and 4 months to repay the bank their loan amount(without interest ofc).

7 0
2 years ago
Read 2 more answers
Please help freshman math much-needed
Damm [24]
You can make the equatin: y=15x+22
X is the number of weeks
Y is the total amount of money needed

Plug in 120 for y and solve for x
120=15x+22
98=15x
x=6.53

But the answer is 7 weeks because we have to round up so he gets paid for the whole week
5 0
3 years ago
Read 2 more answers
Other questions:
  • Is each biconditional statement true or false?
    14·1 answer
  • 20 points! <br> What are the graphing coordinates for:<br> g(1)=-3(1/2)
    11·1 answer
  • C = 5/9 (F - 32) <br><br> Please help
    14·1 answer
  • Equation for the calculation of 5 times the difference of 29 and 14 minus 11
    7·1 answer
  • Find the number of real number solutions for the equation.x2 − 2x + 9 = 0
    9·1 answer
  • Find the value of X.
    8·2 answers
  • Which statement is true about the length of a square with an area of 200 square inches?
    10·1 answer
  • Find the reciprocal of 4
    11·2 answers
  • Give the name the point of concurrency for each of the following.
    8·2 answers
  • GIVING BRAINLIEST FOR BEST ANSWER!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!