What is the slope of a line perpendicular to the line whose equation is 2x+2y=28

1

Step-by-step explanation:

1) First, place the given equation in slope-intercept form ( format) to find its slope easier. Isolate the y:

So, the equation of the line in slope-intercept form is . When an equation is in slope-intercept form, the , or the coefficient of the x-term, represents the slope. Thus, the slope for the given line would be -1.

2) Lines that are perpendicular have slopes that are opposite reciprocals of each other. We need to find the opposite reciprocal of -1, then.

To find the opposite reciprocal of a number, write the given number as a fraction first -- making -1 be written as   -- then switch the sign and flip the numerator and denominator. So, the opposite reciprocal of -1 is 1, and 1 is the slope of the perpendicular line.

d is correct

step-by-step explanation:

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step-by-step explanation: