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Determine the intercepts of the line. Do not round your answers. y=−7x+3

A. X-intercept: 3, Y-intercept: −7
B. X-intercept: −3, Y-intercept: 7
C. X-intercept: 7, Y-intercept: −3
D. X-intercept: −7, Y-intercept: 3

1 Answer

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Final answer:

The y-intercept is 3 and the x-intercept is 3/7.

Step-by-step explanation:

The y-intercept represents the point where a line crosses the y-axis. To determine the y-intercept, we set x=0 in the equation and solve for y. In the given equation, y = -7x + 3, when x=0, we have y = 3. So, the y-intercept is 3.

To find the x-intercept, we set y=0 in the equation and solve for x. In the same equation, when y=0, we have -7x + 3 = 0. Solving for x, we find x = 3/7. So, the x-intercept is 3/7.

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