Question

What is the slope of a line that is perpendicular to the line y = x + 4? The slope of the line is ______?

Answer 1

So uh yea slopes of perpendicular lines are opposite reciprocals of each other, the slope of the given equation is 1, the invisible coefficient of x, the opposite reciprocal of 1 is -1, thus the slope of a line perpendicular to the line y = x + 4 is -1.

Explanation:

Answer 2

Slopes of perpendicular lines are opposite reciprocals of each other. The slope of the given equation (which is in slope-intercept form) is 1, the invisible coefficient of x. The opposite reciprocal of 1 is -1, thus the slope of a line perpendicular to the line y = x + 4 is -1.

Hope this helps.