Use the table to write a linear function that relates y to x .

Mathematics

1 answer:

anygoal [31]2 years ago

5 0

Answer:

The linear function is $y = -3x + 2$

Step-by-step explanation:

A linear function has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept(the value of y when x = 0).

In the table, we have that when x = 0, y = 2

This means that $b = 2$ . So

$y = mx + 2$

Finding the slope:

We take two points, and the slope is given by the change in y divided by the change in x.

Points (0,2) and (1,-1)

Change in y: -1 - 2 = -3

Change in x: 1 - 0 = 1

Slope: $m = \frac{-3}{1} = -3$

$y = -3x + 2$

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Use the graph to determine the y intercept

mafiozo [28]

Answers:

y intercept: 9
zeros: -3, -1, 1, 3

===============================================

Explanation:

The y intercept is where the curve crosses the y axis. The curve appears to do so just below y = 10, so y = 9 seems like a good estimate. I'm basing this off of the answer choices given. The y intercept always occurs when x = 0.

The zeros, aka roots or x intercepts, are where the curve crosses or touches the x axis. This occurs in four locations: x = -3, x = -1, x = 1 and x = 3. The x intercepts always occur when y = 0.

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