Question

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

Answer 1

Answer:

$\large\boxed{\bold{SLOPE}=\dfrac{1}{3}}$

Step-by-step 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:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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

Calculate the slope:

$m=\dfrac{5-4}{3-0}=\dfrac{1}{3}$

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

$y=\dfrac{1}{3}x+4$