Question

What is the slope of the line depicted in this graph? Answer must be written in simplest form.​

Answer 1

`\large\boxed{\bold{SLOPE}=(1)/(3)}`

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept (0, b)

The formula of a slope:

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

From the graph we have two points (0, 4) → b = 4, and (3, 5).

Calculate the slope:

`m=(5-4)/(3-0)=(1)/(3)`

If you want the equation of a line, then put the value of m and b to the equation of a line:

`y=(1)/(3)x+4`