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find the equation of the linear function which passes through the points (1,-3) and (4,-2) give your answer in y=mx+b form

Tpy6a [65]

To solve this problem, we first have to find the slope of the two given points. To find the slope, we have to use slope intercept form, which is y₂ - y₁ divided by x₂ - x₁. We substitute each variable for its corresponding value, and we'll get -2 - (-3) divided by 4-1. If we simplify the expression, we'll get 1/3. Next, we plug in the slope and one ordered pair into the equation and we get -3 = 1/3 * 1 + b. We should solve for b and we end up with -3 1/3 = b. Therefore, the equation is y = 1/3x - 3 1/3.

5 0

3 years ago

What is (2x2) divided by [2x87239]9

s2008m [1.1K]

here's the answer for you

7 0

3 years ago

Write equation of the line below

vodka [1.7K]

Hi there!

We are given two ordered pairs which are:

(0,0)
(5,4)

If you are curious how do I get these ordered pairs, they come from those two big circles or dots. x and y make relation and can be written as (x,y).

1. Find the slope

Yes, our first step is to find the slope of a graph if you want to find an equation. You may be curious how to find that right? No worries! We have got a special formula for you to find the slope!

$\large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }$

Since we have two given points, we can substitute them in the formula.

$\large{m = \frac{4 - 0}{5 - 0} } \\ \large \boxed{m = \frac{4}{5} }$

2. Form an equation.

Since we have finally found, got or evaluated the slope. Next step is to find the y-intercept. Oh! Before we get to form an equation, do you know the slope-intercept form? We will be using that linear equation form since it is commonly used in the topic.

$\large \boxed{y = mx + b}$

Where m = slope and b = y-intercept. We substitute m = 4/5.

$\large{y = \frac{4}{5} x + b}$

Next thing to remember is that when the graph intersects an origin point, b-term or y-intercept would be 0. Therefore b = 0 since the graph intersects (0,0).

$\large \boxed{y = \frac{4}{5} x}$

3. Answer

Therefore the equation of the line is y = 4x/5.

6 0

3 years ago

Sam spent StartFraction 5 Over 6 EndFraction of an hour at the dentist’s office. He spent StartFraction 1 Over 10 EndFraction of

ioda

Answer:

Step-by-step explanation:

Dentist's Office = 5/6 of an hour. An hours is 60 minutes

therefore he spent 5/6 x 60 = 50 minutes at the Dentist

1/10 of those 50 minutes were spent in the waiting room that is 1/10 x 50 = 5 minutes

Therefore Sam Spent 45 minutes at the Dentist office

I think the second part of your question is missing

6 0

2 years ago

Read 2 more answers

In a triangle the measure of the first angle is 24 degrees more than the second angle. the measure of the third angle is four ti

Leona [35]

The greatest angle in the given triangle is 104 degrees.

<h3>What is a triangle?</h3>

The polygon with 3 sides, three vertices, and three angles is known as a triangle.
A triangle's overall number of degrees is always 180 degrees.

Given:

Let, the second angle has a measurement of x degrees.
The first angle's measurement is 24 degrees greater than the second angle's measurement.
As a result, the first angle is (24+x) degrees.
The third angle is four times as large as the second.
As a result, the third angle has a measure of 4x.

So,

(24 + x) + x + 4x = 180
6x = 124 - 48
6x = 156
x = 156/6
x = 26

As a result, the second angle has a measurement of 26 degrees.

The first angle's measurement is now 24 degrees greater than the second angle's measurement.

Now,

= 24 + 26
= 50

As a result, the first angle has a measure of 50 degrees.

The third angle is now four times the size of the second angle.

So,

4 × 26 = 104

Therefore, the greatest angle in the given triangle is 104 degrees.

Know more about triangles here:

brainly.com/question/17335144

#SPJ4

7 0

2 years ago