What is the slope of the line whose equation is 2x−4y=102x−4y=10 ?
Mathematics · College · Wed Jan 13 2021
Answered on
Given the equation of the line:
2x - 4y = 10
Determine the slope.
Solution:
The slope of the line can be determined if we equate the given equation of the line in slope-intercept form.
y = mx + b
m = slope of the line
To do so we transpose -4y and 10 to their opposite sides, hence we must take note that in transposing a number, the sign changes.
2x - 4y = 10
4y = 2x -10
Divide both sides by 4 in order to cancel out 4y.
y = 2/4x - 10/4
y = ½x = 5/2
m= ½
Final answer:
The slope of the line is ½