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Harlamova29_29 [7]
2 years ago
15

Here's a graph of a linear function. Write the

Mathematics
1 answer:
Oksi-84 [34.3K]2 years ago
3 0

Answer:

y = ⅓x - 3

Step-by-step explanation:

First, find the slope using two points on the line, say (0, -3) and (6, 0):

\frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - (-3)}{6 - 0} = \frac{3}{6} = \frac{1}{3}

Slope (m) = ⅓

Find the y-intercept (b):

The line intercepts the y-axis at y = -3. So b = -3

Next, substitute m = ⅓ and b = -3 into y = mx + b (slope-intercept form):

y = ⅓(x) + (-3)

y = ⅓x - 3

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see the attached figure

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