Respuesta :

The equation of the line that passes through points (-1, -10), and (3, 14) is y = 6x - 4.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

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

We have two points shown in the table:

(-1, -10), and (3, 14)

[tex]\rm (y - 14 )= \dfrac{14+10}{3+1}(x-3)[/tex]

y - 14 = 6(x - 3)

y = 6x - 4

Thus, the equation of the line that passes through points (-1, -10), and (3, 14) is y = 6x - 4.

Learn more about the slope of the straight line here:

brainly.com/question/3493733

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