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g100num [7]
3 years ago
5

What is the slope of a line that is perpendicular to the line whose equation is 2x + y = 4

Mathematics
2 answers:
wel3 years ago
6 0

The slope of the line of the equation given is -2 (by solving for y, you get y = -2x+4).


So, in order to be perpendicular, you must take the negative reciprocal.

The slope would be -1/2.

hram777 [196]3 years ago
4 0

slope = \frac{1}{2}

the equation of a line in \ slope-intercept form ' is

y = mx + c ( m is the slope and c the y-intercept )

2x + y = 4 ( subtract 2x from both sides )

y = - 2x + 4 ← in slope-intercept form

with m = - 2

given a line with slope m then the slope (m_{2})   of a line perpendicular to it is

m_{2} = - \frac{1}{m} = - \frac{1}{-2} = \frac{1}{2}


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