Question

Write an equation that will satisfy the x and y values in the table below.

Answer 1

The equation that will satisfy x and y values in the table is y = 2x + 3

Explanation:

The form of the linear equation is y = m x + b, where

• m is the slope of the line that represents the equation

• b is the y-intercept, value y at x = 0

The rule of the slope of the line is m =
`(y2-y1)/(x2-x1)` , where

• (x1, y1) and (x2, y2) are two points on the line

From the given table

∵ x = 0 and y = 3, x = 1 and y = 5

∴ x1 = 0 and x2 = 1

∴ y1 = 3 and y2 = 5

→ Substitute them in the rule of the slope above

∵ m =
`(5-3)/(1-0)` =
`(2)/(1)`

∴ m = 2

∵ b is the value of y at x = 0

∵ y = 3 at x = 0

∴ b = 3

→ Substitute the values of m, b in the form of the equation above

∴ y = 2x + 3

∴ The equation that will satisfy x and y values in the table is y = 2x + 3