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

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

• A. x-intercept 5; y-intercept 2
• B. x-intercept 5; y-intercept -2
• C. x-intercept -5; y-intercept 2
• D. x-intercept 0; y-intercept 0

Answer: (A)

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.