The graph of 5x-2y=10 intersects the x-axis and y-axis what are the order pairs for these two points 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)
Let x = 0
You have 5(0) - 2y = 10
so -2y = 10 divide both sides by -2 to find y. Your ordered pair is (0, y)
Do the same for y = 0
5 x - 2(0) = 10
5x = 10
solve for x and your ordered pair is (x, 0)
just saying angie, you don't need to post twice, but alls good.
sorry knights my computer was messying up so...
np
To find the x-intercept of the graph, we set y = 0 and solve for x. Similarly, to find the y-intercept of the graph, we set x = 0 and solve for y. Let's go step by step to find the order pairs for these two points of intersection.
1. To find the x-intercept, we set y = 0 in the equation 5x - 2y = 10 and solve for x:
5x - 2(0) = 10
5x = 10
Dividing both sides of the equation by 5, we get:
x = 2
So, the x-intercept is (2, 0).
2. To find the y-intercept, we set x = 0 in the equation 5x - 2y = 10 and solve for y:
5(0) - 2y = 10
-2y = 10
Dividing both sides of the equation by -2, we get:
y = -5
So, the y-intercept is (0, -5).
Therefore, the order pairs for the two points of intersection are (2, 0) and (0, -5). This means that the correct answer is B. (2, 0) and (0, -5).