Respuesta :

Answer:

m = 2

Step-by-step explanation:

The gradient ( slope) m is calculated using the slope formula

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

with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (1, 3) ← 2 points on the line

m = [tex]\frac{3+1}{1+1}[/tex] = [tex]\frac{4}{2}[/tex] = 2

The gradient (m) of the graph is the slope which is: 2.

How to Find Gradient of a Graph

  • The gradient of a graph is the same as the slope.
  • Gradient (m) = change in y / change in x

Using two points on the line, (0, 1) and (1, 3):

Gradient (m) = (3 - 1)/(1 - 0)

Gradient (m) = 2/1

Gradient (m) = 2

Thus, the gradient (m) of the graph is the slope which is: 2.

Learn more about gradient of a graph on:

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