Answer:
Slope of the line = ½
Explanation:
Given parameters
Equation of a line: 2x - 4y = 10
Required: Determine the slope of the line
Given an equation of a line, the slope of the line is the coefficient of x when the coefficient of y is 1.
Having said this, we have to make y the subject of formula
2x - 4y = 10
Take 2x to the other side of the equation
-4y = 10 - 2x
Divide through by -4
-4y/-4 = (10 - 2x)/-4
y = (10 - 2x)/-4
y = 10/-4 -2x/-4
y = -10/4 + 2x/4
Reorder
y = 2x/4 - 10/4
y = x/2 - 5/2
y = ½x - 5/2
At this point, we have the coefficient of y to be 1. Hence, the coefficient of x is the slope of the line
Slope of the line = ½