All categories

2 years ago

Write an equation in slope-intercept form that represents the graphed function.

Mathematics

1 answer:

damaskus [11]2 years ago

8 0

Answer: Y = 1/4x - 2
Slope intercept form is y = mx + b
M is slope, and b is y intercept

Solving slope:
change in y over change in x is slope
The change in y from (0,-2) and (4,-1) is up one over four.
This can be represented as 1/4

Solving y-intercept:
Y-intercept is when x = 0 or when the line touches the y axis
As you can see on the graph, the y intercept is (0,-2) or -2

Final:
Y = 1/4x - 2

You might be interested in

In a loaf of bread, does the number of slices eaten and the number of slices remaining in the loaf have a positive, a negative,

solmaris [256]

I think it would have a negative correlation because the amount of slices eaten is increasing while the amount remaining is decreasing.

6 0

2 years ago

nanci has a large fish tank that contains fish. The ratio of orange fish to black fish is 5:8. If nanci has a total of 20 orange

oksano4ka [1.4K]

There are 32 black fish in the tank

Step-by-step explanation:

Nanci has a large fish tank that contains fish

The ratio of orange fish to black fish is 5 : 8
Nanci has a total of 20 orange fish

We need to find how many black fish in the tank

∵ The ratio between the orange fish to the black fish is 5 : 8

∵ She has 20 orange fish

By using the ratio method

→ orange : black

→ 5 : 8

→ 20 : x

By using cross multiplication

∵ 5 × x = 20 × 8

∴ 5 x = 160

- Divide both sides by 5

∴ x = 32

∵ x represents the number of the black fish

∴ The number of the black fish is 32

There are 32 black fish in the tank

Learn more:

You can learn more about the ratio in brainly.com/question/11286417

#LearnwithBrainly

5 0

3 years ago

Write the slope-intercept form of the equation that passes through the point (-1, 2) and is perpendicular to the line y = 3/2x +

Alisiya [41]

-------------------------------------------------------------------------------------------------------------

Answer: $\textsf{y = -2/3x + 4/3}$

-------------------------------------------------------------------------------------------------------------

Given: $\textsf{Passes through (-1, 2) and perpendicular to y = 3/2x + 6}$

Find: $\textsf{The equation in slope-intercept form}$

Solution: We need to figure out the equation in slope-intercept form and the first step is to understand the slope. We know that it is going to be perpendicular to 3/2 and in order to find the perpendicular slope we must first negate it. We would then take the reciprocal of that number and in this case the slope would be -2/3. After that we just plug into the point-slope formula, simplify, distribute, and solve for y.

Plug in the values

$\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}$

$\textsf{y - 2 = -2/3(x - (-1))}$

Simplify and distribute

$\textsf{y - 2 = -2/3(x + 1)}$

$\textsf{y - 2 = (-2/3 * x) + (-2/3 * 1)}$

$\textsf{y - 2 = -2/3x - 2/3}$

Add 2 to both sides

$\textsf{y - 2 + 2 = -2/3x - 2/3 + 2}$

$\textsf{y = -2/3x - 2/3 + 2}$

$\textsf{y = -2/3x + 4/3}$

Therefore, after completing the steps we were able to determine that the equation the best fits the description that was provided is y = -2/3x + 4/3.

3 0

2 years ago

A total of 64 musicians entered a music contest, and 5/8 of these musicians are violinsts. how many are not violinsts that enter

jok3333 [9.3K]

14 are not violinist. BRAINLIEST PLEASE! :c

7 0

2 years ago

Read 2 more answers

The volume of a cube is 125 cubic inches. what is the length of one edge of the cube?

jeyben [28]

V=S^3 (Volume is equal to the side cubed)
V=125
125=S^3 (Now cube root both sides to isolate your side, s)
5=S

8 0

3 years ago