The graph of 5x-2y=10 intersects the x-axis and the y-axis what are the ordered pairs for these two pairs of intersection A.(2,0) and (0,5)
B. (2,0) and (0,-5)
C.(-2,0) and (0,5)
D. (-2,0) and (0,-5)
I answered earlier.
Let x = 0 and find y
Let y = 0 and find x.
Remember the pairs are written (x,y)
To find the ordered pairs of the intersections of a line with the x-axis and y-axis, we can substitute the values accordingly and solve for the variables.
Given the equation of the line: 5x - 2y = 10
To find the intersection with the x-axis, we set y = 0 and solve for x:
5x - 2(0) = 10
5x = 10
x = 10/5
x = 2
Therefore, the intersection with the x-axis is (2, 0).
To find the intersection with the y-axis, we set x = 0 and solve for y:
5(0) - 2y = 10
-2y = 10
y = 10/-2
y = -5
Therefore, the intersection with the y-axis is (0, -5).
Comparing these values with the given options:
A. (2, 0) and (0, 5) - The second point (0, 5) is incorrect, as the y-intercept is -5, not 5.
B. (2, 0) and (0, -5) - Both points are correct.
C. (-2, 0) and (0, 5) - The first point (-2, 0) is incorrect, as the x-intercept is 2, not -2.
D. (-2, 0) and (0, -5) - The first point (-2, 0) is correct, but the second point (0, -5) is incorrect.
Therefore, the correct answer is B. (2, 0) and (0, -5).