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

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

Answer:

1/2

1/2

Step-by-step explanation:

2x+y = 4

Lets solve for y so the equation is in slope intercept form

Subtract 2x from each side

2x-2x+y = - 2x+4

y = - 2x+4

The slope is-2

When we want a perpendicular line, the slope is the negative reciprocal

- (1/-2)

+ 1/2

The slope of the new line is 1/2