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

1 Answer
Jim G.
Jan 4, 2017

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

Explanation:

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"y=0⇒x−0=6⇒x=6← 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"x=0⇒0−2y=6⇒y=−3← 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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