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3 years ago

What the equation of this graph in slope-intercept form?

Mathematics

2 answers:

gavmur [86]3 years ago

5 0

Answer: $y=\frac{3}{5} x+3$

Step-by-step explanation:

To find the equation of the graph, we need to know the slope and y-intercept. We can find the slope by using the formula $m=\frac{y_2-y_1}{x_2-x_1}$ . Then, we use a point to find the y-intercept. Let's use the points (0,3) and (-5,0).

$m=\frac{0-3}{-5-0} =\frac{-3}{-5} =\frac{3}{5}$

Now that we know the slope, we can plug in any point to find the y-intercept.

$3=\frac{3}{5} (0)+b$ [multiply]

$b=3$

Now, we know the equation is $y=\frac{3}{5} x+3$ .

hichkok12 [17]3 years ago

3 0

Answer:

y= 3/5x + 3

Step-by-step explanation:

slope= 3/5

y intercept= 3

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A function f(x) is graphed on the coordinate plane.

Sidana [21]

Answer: y = - 4x + 2

Explanation:

The graph shows a linear function, which is a first degree polynomial, whose form is ax + b.

The rule or fucntion is f(x) = y = ax + b. This form is called the slope-intercept form, because the coefficient a is the slope of the line and b is the y-intercept.

The graph permits you to calculate both parameters.

1) The slope, a is defined in this way:

a = rise / run = [change in y] / [change in x] = [y₂ -y₁] / [x₂ - x₁]

you can use the points (0, - 2) and (-1,2):

⇒ a = [ 2 - (-2) ] / [ -1 - 0 ] = 4 / (-1) = - 4

2) b, the y-intercept, is the value of the function, y, when x = 0. In the graph you can see that this is - 2. b = - 2.

3) Substituting the values of a and b in the form y = ax + b, you the rule:

y = - 4x - 2

8 0

4 years ago

Read 2 more answers

Solve each equation write each equation in simplest form 7x/8=21

AveGali [126]

7x / 8 = 21
7x = 8*21
x = 24

8 0

3 years ago

Simplify the following: 9(v-4)

alexdok [17]

You use the distributive property.

9 times v = 9v
9 times -4 = -36

Therefore the answer is
9v-36

4 0

3 years ago

Given CS=2x+1, SB=6x, CR=7.5, and RA=18. What must the value of x be in order to prove SR || BA? Justify your answer

Anna [14]

The picture in the attached figure

we know that
In similar triangles. The ratio of the lengths of the sides CS and CB must be equal to the ratio of the lengths of sides CR and CA. CS / CB = CR / CA
which can also be written as,
CS / (CS + SB) = CR / (CR + RA)
CS*(CR+RA)=CR*(CS+RA)
CS=2x+1
SB=6x
CR=7.5
RA=18
(2x+1)*[7.5+18]=7.5*[2x+1+18]
(2x+1)*[25.5]=7.5*[2x+19]
(51x+25.5)=15x+142.5
51x-15x=142.5-25.5
36x=117
x=117/36
x=3.25

the answer is
x=3.25

5 0

3 years ago

Mr. Nelson bought a car for $20,000 with a 5% interest rate.

LekaFEV [45]

Answer:

A ) Hence The interest for the car loan is $ 4,310

B ) Hence The interest for the car loan is $ 3,152

Step-by-step explanation:

Given as :

The loan for the car = $ 20,000

The rate of interest of car loan = 5 % compounded annually

A ) The period of loan = 48 months = 4 years

Let the interest of the loan = CI

<u>From compounded method</u>

Amount = Principal × $(1 + \frac{\textrm Rate}{100})^{\textrm time}$

Or, Amount = $ 20,000 × $(1 + \frac{\textrm 5}{100})^{\textrm 4}$

Or, Amount = $ 20,000 × $(1.05)^{4}$

Or, Amount = $ 20,000 × 1.2155

∴ Amount = $ 24310

So, Interest = Amount - Principal

Or, CI = $ 24,310 - $ 20,000

∴ CI = $ 4,310

Hence The interest for the car loan is $ 4,310

B ) The loan for the car = $ 20,000

The rate of interest of car loan = 5 % compounded annually

The period of loan = 3 years

Let the interest of the loan = CI

So,

<u>From compounded method</u>

Amount = Principal × $(1 + \frac{\textrm Rate}{100})^{\textrm time}$

Or, Amount = $ 20,000 × $(1 + \frac{\textrm 5}{100})^{\textrm 3}$

Or, Amount = $ 20,000 × $(1.05)^{3}$

Or, Amount = $ 20,000 × 1.1576

∴ Amount = $ 23,152

So, Interest = Amount - Principal

Or, CI = $ 23,152 - $ 20,000

∴ CI = $ 3,152

Hence The interest for the car loan is $ 3,152

6 0

4 years ago