The graph of a linear function f is shown.
(a) Identify the slope, y-intercept, and x-intercept.
(b) Write a formula for f.
(c) Estimate the zero of f.

Question

The graph of a linear function f is shown. 
​(a) Identify the​ slope, y-intercept, and​ x-intercept.
​(b) Write a formula for f.
​(c) Estimate the zero of f.

eviant · Answer

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eviant · Answer

@Shadow could you help with this?

eviant · Answer

@Shadow so I found that the slope is -1/6, and the y-intercept is 4, and the x-intercept is 0, is this correct?

Shadow · Answer

The slope and y intercept are good

Shadow · Answer

The intercept in general is when the slope of the line hits an axis, either the y or x axis

Shadow · Answer

x = 0 is at the origin, and the line doesn't go near it.

Shadow · Answer

In order to find the x intercept, just input 0 for y into the equation of the line, as when it hits 0 elevation it will be intercepting the x-axis.

Shadow · Answer

So you just solve for x

eviant · Answer

@Shadow , how do I write a formula for f, and find the zero of f?

Shadow · Answer

They might just mean f(x) = equation of the line

Shadow · Answer

The zero is just the point in which it intercepts the x-axis.

Shadow · Answer

Everything make sense?

eviant · Answer

@Shadow thanks!

Shadow · Answer

You're welcome

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