(Slope-Intercept Form)
Which of the following lines has a slope of -1/2?
A) x + 2y = 0
B) x - 2y = 0
C) -x + 2y = 0
A.
x+2y=0
2y=-x
y=-1/2 x
thank you!! :D
To determine the slope of a line, we need to rewrite each equation in the slope-intercept form, which is in the form y = mx + b, where m represents the slope.
Let's analyze each equation:
A) x + 2y = 0
To rewrite this equation in slope-intercept form, we need to isolate y. Move x to the other side of the equation:
2y = -x
Divide both sides by 2:
y = (-1/2)x
B) x - 2y = 0
Isolate y:
-2y = -x
Divide both sides by -2:
y = (1/2)x
C) -x + 2y = 0
Isolate y:
2y = x
Divide both sides by 2:
y = (1/2)x
Comparing the equations, we have found that options B and C both have a slope of 1/2, not -1/2. Therefore, the line with a slope of -1/2 is option A: x + 2y = 0.