Question

Write the equation that represents the data in the table shown. Explain your answer.

Answer 1

The equation that represents the data in the table is y = 4x – 2.

Solution:

Take any two point from the table.

Let the points taken are (0, –2) and (3, 10).

$x_1=0, y_1=-2, x_2=3, y_2=10$

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{10-(-2)}{3-0}$

$m=\frac{12}{3}$

m = 4

Using point-slope formula,

$y-y_1=m(x-x_1)$

$y-(-2)=4(x-0)$

$y+2=4x$

Subtract 2 from both sides, we get

y = 4x – 2

The equation that represents the data in the table is y = 4x – 2.