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.

4 + 5 7/9= 9 7/9

step-by-step explanation:

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !