The slope of a line perpendicular to another line is the opposite reciprocal of the slope of the other line, meaning if the slope of the other line is $-\frac{1}{3}$ , then the slope of the line perpendicular is $3$ .

Knowing this, we can start to construct the equation for the line:

$y = mx + b$

$y = 3x + b$

To solve for $b$ , we plug in the coordinates of the point that we know the line runs through, $(2, 1)$ :

$y = 3x + b$

$1 = 3(2) + b$

$1 = 6 + b$

$b = -5$

Therefore, the slope of the line that is perpendicular ot the line provided in the equation is the following:

$y = 3x - 5$

5 0

3 years ago

Jamie has a square mirror with side lengths of 6 inches.

Sophie [7]

Are we supposed to find the area? If so, It's 36 because 6 times 6 equals 36 :p Hope I helped.

8 0

4 years ago

Read 2 more answers

-32>-5+9z Solve for x.

Darya [45]

Answer:

I do not know how it wants the answer, but it is -4.1 repeating.

I am guessing you meant solve for z too? If there are multiple choice I can help choose the right one.

Step-by-step explanation:

-32>5+9z

subtract 5 from both sides

-37>+9z

then divide 9 from both sides

-4.1111 repeating > z

4 0

3 years ago