Respuesta :

Answer:

y = 10x - 2

Step-by-step explanation:

From the table attached,

Let the equation of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,

y = mx + b

Here, m = slope of the line

b = y-intercept

Since, m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of the line passing through (0, -2) and (1, 8) will be,

m = [tex]\frac{8+2}{1-0}[/tex]

m = 10

y-intercept 'b' = -2 [Output value at x = 0]

Therefore, equation of the line will be,

y = 10x - 2