Question

Which equation represents the graphed function?

O y=-3x + 3
O y = 3x - 3
O y = 3x - 1
O y=-x+3

Answer 1

y = -⅓x + 3

Explanation:

To find the equation of the graph in the form of y = mx + b (slope-intercept form), we have to find the slope (m) and the y-intercept (b) of the graph:

Slope (m) = change in y/change in x

Slope (m) using the two points on the line, (0, 3) and (3, 2):

m = (2 - 3)/(3 - 0) = -1/3

m = -⅓

y-intercept (b) = 3 (the y-axis is intercepted at this point)

✔️To write the equation, substitute m = -⅓ and b = 3 into y = mx + b:

Thus,

y = -⅓x + 3