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How do you graph #y=6# using intercepts?

Answer 1

#"see explanation"#

#y=6" is a "color(blue)"special case"# in that it is a horizontal line parallel to the x-axis and passing through all points in the plane with a y-coordinate of 6.

#rArr(-2,6),(0,6),(3,6)" all lie on this line"#

#"plot these points and draw a straight line through them"# graph{(y-0.001x-6)=0 [-20, 20, -10, 10]}

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Answer 2

Jace Anderson

To graph the equation ( y = 6 ) using intercepts, you can find the x-intercept by setting ( y = 0 ) and solving for ( x ), and find the y-intercept by setting ( x = 0 ) and solving for ( y ).

For ( y = 6 ), the y-intercept is when ( x = 0 ), so ( y = 6 ). For the x-intercept, since there are no x terms, it doesn't cross the x-axis.

So, the graph of ( y = 6 ) is a horizontal line passing through the point (0, 6).

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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.