All categories

3 years ago

What is the equation of the line, in slope-intercept form, that passes through (4, 2) and (-2, -3)?

Mathematics

1 answer:

Vlad1618 [11]3 years ago

6 0

Answer:

y = 5/6x -4/3

Step-by-step explanation:

We can find the slope

m = (y2-y1)/(x2-x1)

= (-3-2)/(-2-4)

=-5/-6

= 5/6

We can use point slope form to find the equation

y-y1 = m(x-x1)

y-2 = 5/6(x-4)

Distribute

y-2 = 5/6x - 10/3

Add 2 to each side

y-2+2 = 5/6x -10/3+2

Get a common denominator

y = 5/6x -10/3 +6/3

y = 5/6x -4/3

You might be interested in

Explain a real world situation where you would. need to multiply with negative or rational numbers

Oksi-84 [34.3K]

Let us say you must pay someone ten dollars a month. This is the same as being paid negative ten dollars a month. Ten months ago (in negative ten months) you were 100 dollars richer *. (-10)x(-10)=100

7 0

3 years ago

1. Mr. Paul pays the parking bill before tax at a cost of $33.20. The parking tax rate is 2%. Mr. Paul decides to leave a 5% tip

Lemur [1.5K]

Answer:

for the first question the total bill is $35.524

for the 2nd question the answer is $36.36 = 110%.

$36.36 ÷ 1.1 = $33.054

(the five and the four are recurring)

(I divided by 1.1 because 1.1 is the same as 110%)

hope this helped :)

7 0

3 years ago

Which situation is represented by the equation? 8x + 60 = 4x + 100

jasenka [17]

Answer:

x=10

Step-by-step explanation:

subtract 4x from each side first. 8x-4x+60=4x-4x+100 which equals 4x+60=100. Then subtract 60 from each side. 4x+60-60=100-60 which equals 4x=40. Then divide both side by 4 which equals x=10.

8 0

3 years ago

Read 2 more answers

The tar contents of 8 brands of cigarettes selected at random from the latest list released by the federal Trade Commission is a

sattari [20]

The mean is 11.7 i don't know the Variance

3 0

3 years ago

Does the frequency distribution appear to have a normal distribution using a strict interpretation of the relevant criteria?Tem

Xelga [282]

Answer:

B. No, this distribution does not appear to be normal

Step-by-step explanation:

Hello!

To observe what shape the data takes, it is best to make a graph. For me, the best type of graph is a histogram.

The first step to take is to calculate the classmark`for each of the given temperature intervals. Each class mark will be the midpoint of each bar.

As you can see in the graphic (2nd attachment) there are no values of frequency for the interval [40-44] and the rest of the data show asymmetry skewed to the left. Just because one of the intervals doesn't have an observed frequency is enough to say that these values do not meet the requirements to have a normal distribution.

The answer is B.

I hope it helps!

3 0

3 years ago