Question

What is the equation of this line

Answer 1

`y = -(4)/(3)x + 4`

Explanation:

Use the slope-intercept form to write the equation if the line of the graph given.

`y = mx + b`, where,

b = y-intercept, which is where the line cuts across the y-axis = 4.

m = slope =
`(y_2 - y_1)/(x_2 - x_1) = (0 - 4)/(3 - 0) = (-4)/(3)`

Substitute m = ⁴/3 and b = 4, into the slope-intercept formula to get the equation of the line:

`y = mx + b`

`y = -(4)/(3)x + 4`