Question

Can anyone solve this?

Answer 1

`y = (3)/(4) x + 2`

Explanation:

The equation of a line is defined by

`y = mx + b`

Where m is called the slope.

The slope is calculated by finding the average rate of change of a function

The average rate of change(slope) formula is

`(y _(2) - y _(1))/(x _(2) - x _(1) )`

We can find the slope between two coordinate points

So here, we are given the point (0,2) and the point (4,5)

So the slope is

`(5 - 2)/(4 - 0) = (3)/(4)`

So

`m = (3)/(4) = 0.75`

Part 2:

B is considered the y-intercept.

The y intercept of a function is considered the intial value of that function. This is the y value when x=0.

So you can perceive the y intercept as

• the y value when the functions intersects the y axis
• the intial value of a function (when x=0)

Here, when x=0, , the line is at 2 so

b=2.

Thus our equation is

`y = (3)/(4) x + 2`

Answer 2

y =
`(3)/(4)`x + 2

Explanation:

y = mx + b is the slope intercept form of a line.

To write the equation you need the m (slope) and b (y-intercept).

The slope is the change in y over the change in x. Look at the two blue point. If you start at the bottom on, you would move up 3 spaces and then right four spaces. Up is positive and right is positive, so your slope is 3/4.

The b value is the where you cross the x axis. You cross at 2.

Helping in the name of Jesus.