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36 votes
36 votes
Which equation represents the graphed function?

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

Which equation represents the graphed function? O y=-3x + 3 O y = 3x - 3 O y = 3x-example-1
User Alen Stojanov
by
2.8k points

1 Answer

6 votes
6 votes

Answer:

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

User Denica
by
2.8k points
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