How do you graph the line #y=2x+5#?

Answer 1

Using some arbitrary values for #x# compute corresponding #y# values; plot the resulting coordinate pairs; and draw a line through those points.

You will need at least 2 sets of coordinates since this is a linear equation. (3 or more would allow you to check your results).

As an example I used
#color(white)("XXX")x in {-2,0,+2}#
to get the sample coordinate pairs:
#color(white)("XXX")(-2,1)#
#color(white)("XXX")(0,5)# and
#color(white)("XXX")(+2,9)#

Here is the result:

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Answer 2

Abigail Allen

To graph the line y = 2x + 5:

Plot the y-intercept at (0, 5).
Use the slope, which is 2, to find another point. For example, from the y-intercept, move up 2 units and right 1 unit (or down 2 units and left 1 unit).
Draw a straight line through these two points to represent the graph of 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.