Respuesta :

Answer:

slope = 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 9) and (x₂, y₂ ) = (7, 18)

m = [tex]\frac{18-9}{7-4}[/tex] = [tex]\frac{9}{3}[/tex] = 3

The slope of the line that passes through the point (4,9) and (7,18) is; 3.

The slope of a graph is a measure of the rate of change of the graph.

The slope is therefore determined as follows;

  • Slope, m = (y2-y1)/(x2 - x1)

  • Slope, m = (18 - 9)/(7 - 4)

  • slope, m = 9/3

  • m = 3

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