All categories

2 years ago

Find the slope and the y-intercept of the following graph

Mathematics

1 answer:

spin [16.1K]2 years ago

5 0

Answer:

The slope of the graph is 5, and the y-intercept is (0, -3).

Step-by-step explanation:

Let's start by finding the y-intercept.

The y-intercept is the point where the line intercepts the y-axis.

Looking at the graph, we can determine that the y-intercept is (0, -3).

The slope of a graph can be found using two points on the line.

Let's use (0, -3) and (1, 2):

$Slope=\frac{Rise}{Run}=\frac{y_2-y_1}{x_2-x_1}=\frac{2-(-3)}{1-0}=\frac{5}{1}=5$

Therefore the slope of the graph is 5, and the y-intercept is (0, -3).

You might be interested in

What is the sum of the first 37 terms of the arithmetic sequence?

lidiya [134]

Answer:

The sum of the first 37 terms of the arithmetic sequence is 2997.

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is the following:

$a_{n+1} = a_{n} + d$

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

$a_{n} = a_{1} + (n-1)*d$

The sum of the first n terms of an arithmetic sequence is given by:

$S_{n} = \frac{n(a_{1} + a_{n})}{2}$

In this question:

$a_{1} = -27, d = -21 - (-27) = -15 - (-21) = ... = 6$

We want the sum of the first 37 terms, so we have to find $a_{37}$

$a_{n} = a_{1} + (n-1)*d$

$a_{37} = a_{1} + (36)*d$

$a_{37} = -27 + 36*6$

$a_{37} = 189$

Then

$S_{37} = \frac{37(-27 + 189)}{2} = 2997$

The sum of the first 37 terms of the arithmetic sequence is 2997.

6 0

3 years ago

How do I make a formula for a line if they only give me the intercept and the slope

Eddi Din [679]

Well what you want is y = mx + b
m = slope
b = intercept for y
with that just substitute in the slope and the intercept, but leave the x and y as it is. So later on you can put in a x coordinate and get the y coordinate through that, hope this helps!

8 0

3 years ago

Read 2 more answers

A football gained 11 yards on each of 8 plays. How many yards did they gain?

gladu [14]

Answer:he gained 88 yards

Step-by-step explanation: just do 11x 8 and you will get 88

so therefore the best option is a have a great day

4 0

2 years ago

Read 2 more answers

What is importance of banks to ecomics

defon

Answer:

They do transactions from such a large distance

Step-by-step explanation:

Banks make it far easier for a complex economy to carry out the extraordinary range of transactions that occur in goods, labor, and financial capital markets. Banks are a critical intermediary in what is called the payment system, which helps an economy exchange goods and services for money or other financial assets.

5 0

3 years ago

13. Solve for m. Assume that none of the denominatons are equal to 0<br>Plz help me

givi [52]

Answer:

m = (ps - b - uxs/t) / ux/t - p

Step-by-step explanation:

ux/t +b/m+s =p

multiplying throughout by (m+s) we get:

ux/t(m+s) + b = p(m+s)

open the brackets:

uxm/t + uxs/t + b = pm + ps

bring on one side of the equal sign all terms containg m, to make it the subject:

m(ux/t - p) = ps - b - uxs/t

m= (ps - b - uxs/t) / ux/t - p

3 0

2 years ago