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How do you graph the line #y=4x+2#?

Answer 1

Find two points to draw a line through by choosing values of #x# and calculating the corresponding values of #y#.

To graph a straight line, you need two points to draw a line through. To obtain a point on the line, choose a value for #x# and calculate the corresponding value of #y#. For example: If #x = 0#, #y = 2#, so one point could be #(0,2)#. If #x = 1#, #y = 6#, so another point is #(1,6)#. If #x = 3#, #y = 14#, so another point is #(3,14)#.

Although you really only need two, you are welcome to locate as many points as you like to aid in aligning your ruler.

Intuitively, this equation means that, for each step in the #x# direction, four steps will be taken in the #y# direction, and the line crosses the #x#-axis at #y = 2#.

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Answer 2

Jace Anderson

To graph the line y = 4x + 2, you can start by plotting the y-intercept, which is 2. Then, use the slope, which is 4, to find another point on the line. For example, if you move one unit to the right (along the x-axis), you would move four units up (along the y-axis) from the y-intercept. Connect these points to draw the line.

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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.