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polet [3.4K]
3 years ago
12

5. Write the equation of the line represented by the following graph (2 points):

Mathematics
1 answer:
Tcecarenko [31]3 years ago
3 0

Answer:

y=2/3x-2

Step-by-step explanation:

We can first find the y-intercept of the graph.

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

So, based on the graph, we can see that the y-intercept is at (0, -2).

Now, we need to find another point in order to find the slope of the line.

Another point would be (3,0).

This is also the x-intercept.

We can put these points into the formula for slope to find the slope of the given line.

The formula for slope is: y1-y2/x1-x2

In the formula:

y1 is the y coordinate of the first point

y2 is the y coordinate of the second point

x1 is the x coordinate of the first point

x2 is the x coordinate of the second point

We can plug our points in.

-2-0/0-3

Simplify.

-2/-3

2/3

The slope is 2/3.

Put it into an equation.

We can use the form y=mx+b

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

We can put our corresponding values in.

The final equation would therefore be: y=2/3x-2.

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