Question

Write an equation that represents the line. Use exact numbers.

Answer 1

Answer:

$y=-\frac{4}{3} x+2$

Step-by-step explanation:

In order to write an equation that represents a line, you have to write it in Slope-Intercept Form.

Slope-Intercept Form: y = mx+b

Where b represents the Y-intercept

Where m represents the Slope

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That's all you need to know about Slope-Intercept Form!

How do we get started?

Well first off, take a look at the graph and spot two points that are shown

The two points will be: (0, 2) and (3, -2)

Then use the two points to Solve for the Slope of the line!

m = slope

m = $\frac{y2-y1}{x2-x1}$       Second y - first y/ Second x - First x

m = $\frac{-2-2}{3-0}$        

m = $\frac{-4}{3}$           Turn the whole answer negative since there's a negative

m = $-\frac{4}{3}$           Final Answer

so the slope of the line is -4/3

Now we need to get the Y-intercept of the line!

Easy we don't need to solve just look how many units the graph goes up in y-axis?

2 units

so the y-intercept of the line is 2

Equation: y = -4/3x + 2