# How do you graph the line #y=2x+2#?

See explanation

The minimum number of points needed to draw a strait line graph is 2. However, 3 is better as one of them forms a check. They should all line up. If not then something is wrong.

Lets determine 2 points

The line will 'cross' the y axis at

So we can determine these points (intercepts) by substitution.

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For y-intercept set

So y-intercept is at the point

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For x-intercept set

Subtract

Divide both sides by

But

So the y-intercept is at the point

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Mark and label these two points then draw you line through them. Take the line to the edges of the graphing area on the paper.

Do not forget to label your graph.

In an exam you get extra marks for labelling you points and giving a title to your graph.

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To graph the line y = 2x + 2, you can use its slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.

In this equation, the slope (m) is 2, and the y-intercept (b) is 2.

To graph it:

- Plot the y-intercept at the point (0, 2).
- Use the slope (rise over run) to find additional points. Since the slope is 2, for every increase of 1 unit in x, the y-value increases by 2 units.
- Plot another point using the slope, and then draw a straight line through the points to represent the graph of the equation.

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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.

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.

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.

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- If f(x) varies directly with x and f(x) = 24 when x = –4, then what is f(x) when x = 12?
- What is the slope of the line passing through the following points: # (-3, -1) ; (4,3)#?

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