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Ind the intercepts and use them to graph the equation Y=x−4.

(A) The x-intercept is 4, and the y-intercept is -4.
(B) The x-intercept is -4, and there are no y-intercepts.
(C) The x-intercept is 4, and there are no y-intercepts.
(D) There are no intercepts.

User Vmt
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1 Answer

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Final answer:

The x-intercept is obtained when y=0 resulting in x=4, and the y-intercept occurs when x=0 which gives y=-4. Thus, the correct answer is to plot the points (4,0) and (0,-4) and draw a line through them.

Step-by-step explanation:

The equation in question is y = x - 4, which is in the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. To find the x-intercept, we set y to zero, so 0 = x - 4, which gives us an x-intercept of 4.

The y-intercept occurs when x is zero; therefore, by substituting x with 0, we get y = -4 for the y-intercept. Thus, to graph the equation, plot the y-intercept at (0, -4) and the x-intercept at (4, 0) and draw a line through these two points.

User Justo
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