Question

What equation is being represented by this line?

Answer 1

The equation that represented by the line is y = -x + 2

Explanation:

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

• m is the slope of the line

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

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

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

From the given figure

∵ The line passes through points (2, 0) and (0, 2)

∴ x1 = 2 and y1 = 0

∴ x2 = 0 and y2 = 2

→ Substitute them in the rule of the slope to find it

∵ m =
`(2-0)/(0-2)=(2)/(-2)=-1`

∴ m = -1

→ Substitute it in the form of the equation above

∵ y = -1(x) + b

∴ y = -x + b

∵ b is value y at x = 0

∵ At x = 0, y = 2

∴ b = 2

→ Substitute it in the equation above

∴ y = -x + 2

∴ The equation that represented by the line is y = -x + 2