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How do you graph #y=8/3x-3#?

Answer 1

#y=8/3#x-3 has a slope of 8/3 and a Y intercept of -3.

To start graphing this equation, think of #y=#mx+b. M is equal to our slope and b is equal to our Y-Intercept. By looking at the equation #y=8/3#x-3 we see that our M is 8/3 (Think of #rise-:run). #8/3 means going up 8 units every time it goes to the right 3 units. Our #B=#-3, which means our graph will intersect the y-axis when #y=#3

graph{y=8/3x-3 [-10, 10, -5, 5]}

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Answer 2

Abigail Allen

To graph the equation (y = \frac{8}{3}x - 3), you can follow these steps:

Plot the y-intercept at (0, -3).
Use the slope (\frac{8}{3}) to find another point. Since the slope is the ratio of the vertical change to the horizontal change, from the y-intercept, go up 8 units (because the numerator is 8) and then to the right 3 units (because the denominator is 3). This gives you another point.
Draw a straight line through the two points to graph the equation.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.