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The graph shown represents which of the ...


The graph shown represents which of the following equations ?

A

`y =-3x +4`

B

`y =-1/3x+4`

C

`y =1/3x -4`

D

`y =3x -4`

Text Solution

Verified by Experts

The correct Answer is:
C
Use the gaph to identify the y-intercept and the slope of the line and then write an equaton in slope-intercept from, `y = mx +b.` Once you have your equation, look for the answer choice that matches. The lines crosses the y-axis at `(0, -4)` so the y-intercetp, b, is -4. The line rises 1 unit for every 3 units that it runs to the rifght, so the slope, m, is `1/3.` The equation of the line is `y = 1/3x-4.` which matches (C ).
You could also graph each of the answer choices in your calculator to see which one mathches the given graph, but this is not the most time-efficient strategy. You also have to be very careful when entering fractions-to graph (C).for example, you would enter `(1//3)x -4.`
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