For the line given by x/5 + y/2 = 1, what are its x-intercept and y-intercept?

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Multiple Choice

For the line given by x/5 + y/2 = 1, what are its x-intercept and y-intercept?

Explanation:
Intercepts are where the line crosses the axes. To find the x-intercept, set y = 0 and solve for x. With x/5 + y/2 = 1, plugging in y = 0 gives x/5 = 1, so x = 5. That means the line crosses the x-axis at the point (5, 0). To find the y-intercept, set x = 0 and solve for y. Then 0/5 + y/2 = 1 simplifies to y/2 = 1, so y = 2. That gives the point (0, 2) on the y-axis. Therefore, the x-intercept is 5 and the y-intercept is 2, which matches the choice describing x-intercept 5 and y-intercept 2.

Intercepts are where the line crosses the axes. To find the x-intercept, set y = 0 and solve for x. With x/5 + y/2 = 1, plugging in y = 0 gives x/5 = 1, so x = 5. That means the line crosses the x-axis at the point (5, 0). To find the y-intercept, set x = 0 and solve for y. Then 0/5 + y/2 = 1 simplifies to y/2 = 1, so y = 2. That gives the point (0, 2) on the y-axis. Therefore, the x-intercept is 5 and the y-intercept is 2, which matches the choice describing x-intercept 5 and y-intercept 2.

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