Question

Write an equation in slope-interpret form of the line shown?

Answer 1

Slope -intercept form:

y=mx+b

Where:

m= slope

b= y-intercept. (where the line crosses the y-axis)

By looking at the graph we can see that the line crosses the y- axis at y=3.

So, the y-intercept is:

b= 3

For the slope we have to apply the formula:

`m=(y2-y1)/(x2-x1)`

Use the points form the graph:

Point 1 = (x1,y2) = (1,2)

Point 2 = (x2,y2)= (4,-1)

`m=(-1-2)/(4-1)=(-3)/(3)=-1`

So, the final equation:

y= -x+3