Writing Equations of Lines Given the Graph Write the slope-intercept form of the equation of each line.
questions are on the image below :)

1.

2.

3.

4.

5.

6.

7.

8.

Step-by-step explanation:

The steps to solving these questions involve

1. Calculate slope using:

2. Calculate the line equation using point slope formula:

We'll apply the steps above in solving 1 through 8

Solving (1):

When x = 0; y = 0

When x = 1; y = 3

i.e.

Calculate slope:

Next, we calculate the equation

Where:

and

Solving (2):

When x = 0; y = 1

When x = 3; y = -1

i.e.

Calculate slope:

Next, we calculate the equation

Where:

and

Solving (3):

When x = 0; y = -4

When x = -3; y = -2

i.e.

Calculate slope:

Next, we calculate the equation

Where:

and

Solving (4):

When x = 0; y = 4

When x = 4; y = 4

i.e.

Calculate slope:

Next, we calculate the equation

Where:

and

Solving (5):

When x = -4; y = 1

When x = -1; y = 4

i.e.

Calculate slope:

Next, we calculate the equation

Where:

and

Solving (6):

When x = 0; y = 0

When x = 2; y = 5

i.e.

Calculate slope:

Next, we calculate the equation

Where:

and

Solving (7):

When x = -2; y = -2

When x = 2; y = 5

i.e.

Calculate slope:

Next, we calculate the equation

Where:

and

Solving (8):

When x = -3; y = 1

When x = 0; y = 4

i.e.

Calculate slope:

Next, we calculate the equation

Where:

and

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

it would be a on edgenuit y

the diagram below is your final answer