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3 months ago

Which equation represents the graphed function?

Mathematics

2 answers:

PIT_PIT [12.4K]3 months ago

8 0

Answer:

$y=\frac{-1}{3} x+3$

Step-by-step explanation:

Construct the line's equation by using the two points shown on the graph:

(0, 3) and (3, 2)

The line's equation is y = mx + b

where m is the slope and b is the y-intercept

Calculate the slope using the formula:

$slope =\frac{y_2-y_1}{x_2-x_1} =\frac{2-3}{3-0} =\frac{-1}{3}$

The y-intercept b is the value where the graph crosses the y-axis:

Here, b = 3

Substitute the values into the equation y = mx + b:

$y=\frac{-1}{3} x+3$

Leona [12.6K]3 months ago

5 0

Answer:

y = -3 x + 3

Step-by-step explanation:

First, determine the slope (m):

m = (y₂ - y₁) / (x₂ - x₁)

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

= -3

Next, identify the y-intercept (b), where the line crosses the y-axis:

It intersects at y = 3

Using the slope-intercept form y = mx + b, plug in m and b:

y = -3 x + 3

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Answer:

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