Final answer:
The slope of the line is 2/5. The y-intercept is -2. The x-intercept is 5. The function does not have a zero.
Step-by-step explanation:
The given equation is 2x - 5y = 10.
To find the slope of the line, we need to rearrange the equation into slope-intercept form, which is y = mx + b, where m represents the slope.
First, isolate the y-variable by subtracting 2x from both sides:
-5y = -2x + 10
Divide all terms by -5:
y = (2/5)x - 2
So, the slope of the line is 2/5.
The y-intercept is the value of y when x = 0. In this equation, the y-intercept is -2.
The x-intercept is the value of x when y = 0. To find the x-intercept, substitute y = 0 into the equation and solve for x:
2x - 5(0) = 10
2x = 10
x = 5
Therefore, the x-intercept is 5.
The zero of the function refers to the value of x when y = 0. In this case, there is no value of x that makes y = 0, which means the function does not have a zero.