Question

What is the equation of the line below?

Answer 1

`y = -(2)/(3)x + 1`

Explanation:

The equation of the line shown can be expressed in the slope-intercept formula as
`y = mx + b`

Let's find m = slope, and b = y-intercept.

Using two points on the line, (0, 1) and (1½, 0),

`slope (m) = (y_2 - y_1)/(x_2 - x_1) = (0 - 1)/((3)/(2) - 0) = (-1)/((3)/(2)) = - (2)/(3)`

y-intercept, b is where the line intercepts the y-axis = 1.

To create an equation for the line, substitute m = -⅔, b = 1 in
`y = mx + b`.

✅The equation would be:

`y = -(2)/(3)x + 1`