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3 years ago

What is the slope of the line and y intercept

Mathematics

1 answer:

valkas [14]3 years ago

6 0

Answer is a

You need to find the y-intercept (aka b). You can do that by simply looking where the graph intercepts with the Y-axis.
b= 1 (positive 1 and not negative)

Now we need to find the slope by the following

Slope aka m: (Y2-Y1)/(X2-X1)
Note: sometimes people say it’s rise/run which is the same thing as the previous formula.

Pick two points that fall on the graph. I chose (0,1) and (3,-4). Even though there are no numbers you can assume each square is a unit and count the squares.

Slope = (-4-1)/(3-0) = - 5/3

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Solve for x 2/3=x/4 <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%20%20%7D%20%20%3D%20%20%5Cfrac%7Bx%7D%7B4%20%7D%2

balandron [24]

To solve this, you cross multiply, then divide. In this case, we multiply 4 and 2, then divide by 3.

4 x 2 = 8
8 / 3 = 2.66

So, x is 2.66

3 0

2 years ago

What is the area, in square meters, of the trapezoid below

ahrayia [7]

Answer:

114.12

Step-by-step explanation:

A = (a+b)/2 ×h

= (6.2 + 25.5)/2 ×7.2

=114.12

8 0

2 years ago

A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4 unit. How many 1/4 unit cubes

34kurt

Answer:

128

Step-by-step explanation:

Method A.

The volume of the prism is 2 cubic units.

Each cube has side length of 1/4 unit.

The volume of each cube is (1/4)^3 cubic unit.

The volume of each cube is 1/64 cubic unit.

To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.

(2 cubic units)/(1/64 cubic units) =

= 2/(1/64)

= 2 * 64

= 128

Method B.

Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128

4 0

2 years ago

Read 2 more answers

Emily buys a toaster for 10%off if she pays 36 then what was the original price

PtichkaEL [24]

x-0.1x=36

where x is the original price
0.1x is the discount (10% of the original price)
36 is the price paid

x-0.1x=36
0.9x=36
----- ----
0.9 0.9
x=40

The original price is $40.00

7 0

2 years ago

Read 2 more answers

A line goes through the points (4,16) Ana (7,19). Write a linear function rule in terms of x and y for this line

Eva8 [605]

Linear function rule in terms of x and y for this line is y = x + 12

Solution:

Given that a line goes through the points (4, 16) and (7, 19)

To find: linear function rule in terms of x and y for this line

A linear function is a function of the form f(x) = ax + b, where a and b are real numbers. Here, a represents the slope of the line, and b represents the y-axis intercept

The slope intercept form is given as:

y = mx + c

Where "m" is the slope of line and "c" is the y - intercept

Let us first find slope of line

The slope "m" of a line is given as:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$\text {Here } x_{1}=4 \text { and } x_{2}=7 \text { and } y_{1}=16 \text { and } y_{2}=19$

$m=\frac{19-16}{7-4}=\frac{3}{3}=1$

Thus the slope of line is 1

Substitute m = 1 and (x, y) = (4, 16) in y = mx + c

16 = 1(4) + c

c = 16 - 4 = 12

Substitute c = 12 and m = 1 in slope intercept form

y = 1x + 12

y = x + 12 is the required linear function rule

6 0

3 years ago