Respuesta :

Answer:

Step-by-step explanation:

Use the slope formula:

[tex]m = \frac{y2 -y1}{x2 - x1}[/tex]

where m = slope

(-5, 0) -> means x1 = -5. y1 = 0

(7, 8) -> means x2 = 7 , y2 = 8

Substitute these values into the slope formula above and you get:

[tex]m = \frac{y2 -y1}{x2 - x1} = \frac{8-0}{7- (-5)} = \frac{8}{7+5} = \frac{8}{12} = \frac{2}{3}[/tex]

The slope of the line that passes through the points (-5,0) and (7,8) is 2/3

The formula for calculating the slope of a line is expressed as:

[tex]m = \frac{y_2-y_1}{x_2-x_1} \\m=\frac{8-0}{7-(-5)} \\m=\frac{8}{7+5}\\m=\frac{8}12} \\m= \frac{2}{3}\\[/tex]

Hence the slope of the line that passes through the points (-5,0) and (7,8) is 2/3

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