Question

PLEASE HELP THIS IS OVERDUE!!

Answer 1

`y=2x+4`

Explanation:

Written in the form
`y=mx+c`

The constant c is where the line intercepts the y-axis.

From the graph we can determine that c is equal to 4.

m is the slope of the line. To find it we can do
`(dy)/(dx)` where dy is the difference in y-coordinates between two points and dx is the difference between the x-coordinates.

From the graph we can pick out 2 points that lie on the line:

Point 1 (0,4)

Point 2 (1,6)

So the slope is
`(4-6)/(0-1) =(-2)/(-1)=2`

Now let's rewrite it in the form
`y=mx+c`.

`y=2x+4`

Answer 2

It is y=2x+4.

Explanation:

Alright, so with this question, the slope and y-intercept is needed. First, lets get the y-intercept.

The y-intercept value would be 4 as this is the y value for where the line crosses over this intercept, being the coordinate (0,4).

Next, with the slope, look at where the line crosses over when the x value is 1, the y value is 6, (1, 6).

From this, we can find the slope. What is the climb/fall in the line after moving forward an x value forward? It is going up 2 y values, from 4 to 6. Therefore, the slope is 2.

With this, we can plug in the parts we need to get the final answer:

y = (2 Slope) x + (4 Y-Intercept)

y=2x+4