Question

Question in picture provided What is the slope in the graph

Answer 1

We need to find the slope for the given graph.

Now, we need to use two points of the line.

We will take P1(0,4) and P(2.0)

The slope formula is given by the next form:

`m=(y_2-y_1)/(x_2-x_1)`

Replacing the point values:

`m=(0-4)/(2-0)=(-4)/(2)`

Then:

`m=-2`

Hence, the slope for the line is -2.

Now, to find the y-intercept, we need to use the y-intercept form:

`y-y_1=m(x_1-x)`

Where m=2 and we are going to use (x,y)=(0,4).

Replacing the variables:

`y-4=-2(0-x)`

Solve the equation for y:

`y-4=2x`

Therefore:

`y=2x+4`

Where 4 represents the y-intercept.