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Using graphing paper, determine the line described by the given point and slope (2,-4) and -3/2

User Borncrazy
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1 Answer

2 votes

Answer:

y = -1.5x - 1

Explanation:

1. Plot the point (2, -4) on the graph

2. Plot a second point on the graph

Slope = -1.5

When x increases one unit, y decreases 1.5 units.

Let's increase x by 2 units. Then y decreases by three units.

Find the point two units to the right of (2, -4) and three units down.

It's (4, -7).

Draw a line through the two points.

3. Write the equation for the graph

The general formula for a straight line is y =mx + b.

m = -1.5, so

y = -1.5x + b

The y-intercept is the value of y when x = 0.

We see from the graph that the y-intercept is at (0, -1), so b = -1.

The equation of the graph is

y = -1.5x - 1

Using graphing paper, determine the line described by the given point and slope (2,-4) and-example-1
User Brad Lanam
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