Respuesta :

gmany

Answer:

[tex]\large\boxed{The\ slope=\dfrac{3}{2}}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the graph we have the points (0, 0) and (4, 6) - look at the picture.

Substitute:

[tex]m=\dfrac{6-0}{4-0}=\dfrac{6}{4}=\dfrac{6:2}{4:2}=\dfrac{3}{2}[/tex]

Ver imagen gmany

The slope of the line is [tex]\frac{3}{2}[/tex]

What is slope of a line ?

The change in y co-ordinate with respect to the change of x co-ordinate of a line is called the slope of the line.

Slope of a line is denoted by "m"

If two points on the line are [tex](x_{1},y_{1})[/tex] & [tex](x_{2} ,y_{2})[/tex], then m = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]

What is the required slope ?

From the given graph, We take to points (2, 3) & (4, 6)

Now, Slope (m) = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]

                         = [tex]\frac{6-3}{4-2}[/tex]

                         = [tex]\frac{3}{2}[/tex]

The slope =  [tex]\frac{3}{2}[/tex]

Learn more about slope of line here :

https://brainly.com/question/16949303

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