Respuesta :

Answer:

y = 0.8x + 0.5

Step-by-step explanation:

Let the equation of the line passing through a point (x', y') is,

y - y' = m(x - x')

Here, m = slope of the line

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

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

From the table attached,

Line represented by the table passes through two points (1, 1.3) and (1.5, 1.7).

Therefore, slope of the line (m) = [tex]\frac{1.7-1.3}{1.5-1}[/tex]

m = [tex]\frac{0.4}{0.5}[/tex]

m = 0.8

Equation of the line passing through (1, 1.3) will be,

y - 1.3 = 0.8(x - 1)

y = 0.8x - 0.8 + 1.3

y = 0.8x + 0.5

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