Final answer:
The equation of the line with an x-intercept of 5 and a y-intercept of -10 is Y = 2x - 10.
Step-by-step explanation:
The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. To find the equation of the line with an x-intercept of 5 and a y-intercept of -10, we need to determine the values of m and b. The x-intercept is the point where the line crosses the x-axis, which occurs when y = 0. Substituting these values into the equation, we have:
0 = m(5) + (-10)
0 = 5m - 10
10 = 5m
m = 2
So the slope m is 2. Substituting the value of m = 2 and the y-intercept b = -10 into the equation y = mx + b, we have:
y = 2x - 10
Therefore, the correct answer is option A) Y = 2x - 10.