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How do you graph #x-2y=6# using intercepts?

Answer 1

#"intercepts are " x=6" and " y=-3#

When the graph crosses the x-axis (x-intercept) the corresponding y-coordinate is zero. Let y = 0 in the equation and solve for x.

#y=0rArrx-0=6rArrx=6larr" x-intercept"#

Similarly when the graph crosses the y-axis (y-intercept) the corresponding x-coordinate is zero. Let x = 0 in the equation and solve for y.

#x=0rArr0-2y=6rArry=-3larr" y-intercept"#

Plot the 2 points (6 ,0) and (0 ,-3) and draw a straight line through them. This gives the graph of the given equation. graph{1/2x-3 [-10, 10, -5, 5]}

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Answer 2

Kennedy Adams

To graph (x - 2y = 6) using intercepts:

To find the x-intercept, set y = 0 and solve for x.
To find the y-intercept, set x = 0 and solve for y.
Plot these intercept points on the coordinate plane.
Draw a straight line passing through these points.

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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.