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Find the equation of the linear function represented by the table below in slope-intercept form.

Find the equation of the linear function represented by the table below in slope-intercept-example-1
User Manuel Amstutz
by
2.5k points

1 Answer

18 votes
18 votes

Answer:

y = x + 2

Explanation:

Use any two points.

For example, let's use (-3, -1) and (1, 3).

First, we find the slope.

slope = m = (-1 - 3)/(-3 - 1) = -4/(-4) = 1

We have slope = m = 1.

Now we use the equation:

y = mx + b

We plug in the slope we found above.

y = 1x + b

y = x + b

Now we use one of the given points to find b.

We'll use point (1, 3).

3 = 1 + b

b = 2

Now that we know m and b, we write the equation:

y = x + 2

User Prabin Pebam
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3.1k points