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Gwar [14]
3 years ago
13

Find the slope and y-intercept

Mathematics
2 answers:
Alinara [238K]3 years ago
4 0

Answer:

m=1/2

b=-1

Step-by-step explanation:

to find the slope, we need to see what values x and y increase by. in this table, we can see that as x increases by 2, y increases by 1. since slope is written as rise(x)/run(y), we can write the slope as 1/2.

for the y-intercept, we can use how the x and y values increase as well. we need to find the value of y when x is 0. we know that as x increases by 2, y increases by 1, so we need to do the opposite of both to find the y-intercept. this would be x decreasing by 2 and y decreasing by 1. we can make a table to find the y intercept.

x - 0, 2, 4, 6, 8, 10

y - -1, 0, 1, 2, 3, 4

we can see here that when x=0, y=-1, so that is the y intercept or b value.

Liono4ka [1.6K]3 years ago
3 0

Answer:

1/2 and -1

Step-by-step explanation:

Rise  = 2-1 = 1

corresponding Run = 6 -4 =2

rise/run = 1/2 = slope

So we know that when x=0 we will find the y intercept/

put them in ordered pair you will find

(6,2)

(4,1)

the next one should be (2,0)

and (0,-1)

So the y intercept is -1

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Sylvia plans to place 617 stamps in an album. Each page of the album holds 5 stamps. She uses division to find out how many full
bija089 [108]

Answer:

123 full pages

Step-by-step explanation:

Given

Total\ Stamps = 617\ stamps

Each\ Page = 5\ stamps

Required

Determine the number of full page

To do this, we simply divide the total stamps by stamps in each page;

Pages = \frac{Total\ Stamps}{Each\ Page}

Pages = \frac{617}{5}

Pages = 123.4

Then we record only the quotient

The quotient is the digits before the decimal

Pages = 123

<em>Hence, she has 123 full pages</em>

8 0
3 years ago
The functions f(x) and g(x) are described using the following equation and table: f(x) = −6(1.05)x x g(x) −4 −9 −2 −6 0 −3 2 2 W
kiruha [24]

Based on our examination of the y-intercepts, we can deduce that the y-intercept of function f(x) is equivalent to two times the y-intercept of function g. (x)

<h3>What is the examination of the y-intercept?</h3>

The value of the function at the point where the value of x is equal to zero is known as the y-intercept.

f(x)=-6(1.05)^x

Considering x

x=0

f(0)=-6(1.05)^0

f(0)=-6(1)

f(0)=-6

Therefore, the y-intercept is point (0,-6)

Generally, the equation for the function of the y-intercept of g(x) is  mathematically given as

From table

at x=0

The y-intercept is the point (0,-3)

Based on our examination of the y-intercepts, we can deduce that the ty-intercept of function f(x) is equivalent to two times the y-intercept of function g. (x)

Read more about intercepts

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4 0
2 years ago
huong and kathyrn each day impeoved their yards by planting rose bushes and ornamental grass. they bought their supplies from th
marta [7]

Answer:

One rose bush = $3

One bunch of ornamental grass = $4

Step-by-step explanation:

We can set up a system of equations to solve for this. Let cost of 1 rose bush be r and cost of 1 ornamental grass be g. Thus we can form 2 equations:

14r+7g=70\\5r+14g=71

We can multiply the first equation by -2 so that we can eliminate g. Thus, we have:

(*-2)14r+7g=70\\5r+14g=71\\-------\\-28r-14g=-140\\5r+14g=71\\--------\\-23r=-69\\r=\frac{-69}{-23}=3

Thus, 1 rose bush is $3. Now plugging in r = 3 into the first original equation, we can solve for g:

14r+7g=70\\14(3)+7g=70\\42+7g=70\\7g=70-42\\7g=28\\g=\frac{28}{7}=4

Thus, 1 bunch of ornamental grass is $4.

5 0
3 years ago
5. Please write the equation of a line in y=mx+b format. Find the SLOPE first then find the Y-INTERCEPT (b) Your answer​
castortr0y [4]

Answer:

y = \frac{5}{3}x-1

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Here m = slope of the line

b = y-intercept

Slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is,

m = \frac{y_2-y_1}{x_2-x_1}

From the graph attached,

Since, the given line passes through (0, -1) and (3, 4),

Slope 'm' = \frac{4+1}{3-0}

m = \frac{5}{3}

y - intercept 'b' = -1

Therefore, equation of the line will be,

y = \frac{5}{3}x-1

5 0
3 years ago
Write a subtraction problem that has mixed numbers and requires renaming.draw a model illustrating the steps you take to solve t
Yuliya22 [10]

5(1/2) - 2 (1/4) =

11/2 - 9/4 =

22/4 - 9/4 =

13/4 or 3 (1/4)

5 0
3 years ago
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