What is the slope of a line that is perpendicular to the line
y = 2x – 6?

The slope of a line that is perpendicular to the line y = 2x – 6 is -1/2.

Step-by-step explanation:

The slope-intercept form of the line equation

where

Step 1:

Finding the slope of the given equation

The given equation is

comparing with the slope-intercept form of the line equation

The slope of the equation is: m = 2

Step 2:

Determining the slope of the perpendicular line

In Mathematics, a line perpendicular to another line has a slope that is the negative reciprocal of the slope of the other line.

Therefore, the slope of the new perpendicular line:

Hence, the slope of a line that is perpendicular to the line y = 2x – 6 is -1/2.

Important Tip:

Verification:

The slope of the given line:

The slope of the perpendicular line:

The product of the slopes is:

As the product of the slopes of perpendicular lines is -1, therefore, the lines are perpendicular.

Thus, the slope of a line that is perpendicular to the line y = 2x – 6 is -1/2.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

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step-by-step explanation: