The x-intercept of an equation is the point where the graph intersects the x-axis, meaning the y-coordinate is zero. Similarly, the y-intercept is where the graph intersects the y-axis, so the x-coordinate is zero.
To find the x-intercept, set y to 0 in the equation 5x - 2y = 10:
5x - 2(0) = 10
5x = 10
x = 2
Therefore, the x-intercept is (2, 0).
To find the y-intercept, set x to 0 in the equation:
5(0) - 2y = 10
-2y = 10
y = -5
Hence, the y-intercept is (0, -5).
Therefore, the correct answer choices are:
- x-intercept: (2, 0)
- y-intercept: (0, -5)
