Respuesta :

Amist

You can use two method

First method: form a triangle from x = 4 to x = 7. See vertically and horizontally (count the squares). It would be 5 and 3. Therefore 5/3 would be the slope.

Second method: use the slope formula

Determine 2 points on the graph

(4,0) and (7,5)

Formula: (y2-y1)/(x2-x1)

(5-0)/(7-4) = 5/3

The slope is 5/3

Answer:

slope = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Select two points (or 2 sets of coordinates) on the graph: (4, 0) and (7, 5).

[tex]X_{1} = 4\\Y_{1} = 0\\X_{2} = 7\\Y_{2} = 5[/tex]

Using the slope equation:

m =  [tex](\frac{Y_{2} - Y_{1}}{X_{2} - X_{1}} )[/tex]

    = [tex]\frac{(5 - 0)}{(7 - 4)}\\[/tex]

m =  [tex]\frac{5}{3}[/tex]