Respuesta :

Since the line, from left to right, is going upward, the slope is positive.

Answer:

positive

Step-by-step explanation:

The slope is the inclination of the line with respect to the x-axis.  It is denoted by the letter [tex]m[/tex]. In mathematical language, the slope [tex]m[/tex] of the line is defined as the difference on the y-axis divided by the difference on the x-axis for two different points [tex]P_1(x_1,y_1)[/tex] and [tex]P_2(x_2,y_2)[/tex] on the line:

[tex]m=\frac{\Delta y}{\Delta x} =\frac{y_2-y_1}{x_2-x_1}[/tex]

If:

  • [tex]m>0[/tex] The slope is positive and the line is increasing from left to right

  • [tex]m<0[/tex] The slope is negative and the line is decreasing from left to right

  • If a line is vertical the slope is undefined

  • [tex]m=0[/tex]   is a constant function.

Since the graph of the linear function shown is increasing from left to right, we can conclude that the slope is positive.

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