The slope of the line perpendicular to the line seen in the picture is - 2 / 3.
<h3>How to determine the slope of a line perpendicular to another line</h3>
The slope of a function is determined by the secant line formula and is defined by the following expression:
m = Δy / Δx (1)
Where:
- Δx - Change in the independent variable.
- Δy - Change in the dependent variable.
- m - Slope of the line.
Besides, by analytical geometry, the slope of a line perpendicular to another line is equal to:
m' = - 1 / m
If we know that Δx = 2 and Δy = 3, then the slope of the line perpendicular to the line seen in the picture is:
m = 3 / 2
m' = - 1 / (3 / 2)
m' = - 2 / 3
The slope of the line perpendicular to the line seen in the picture is - 2 / 3.
To learn more on slopes: brainly.com/question/2491620
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We have been given two ratios and we are supposed to compare our ratios whether they are proportional or not.
1. We will reduce our fractions to compare our ratios. Let us simplify each of our given fractions.
Let us divide numerator and denominator with greatest common factor. We can see that 21 is GCF of our ratio.
Now we will simplify our second ratio.
GCF of our fraction is 32. Upon dividing our fraction by 32 we will get,
We can see that our both ratios are similar.
2. Now we will find decimal values of our fractions.
We can see that 
.
Therefore, we can say that our ratios are proportional.
No,The room is not a square shaped.This is because.Perimeter of the square shape would be length of any sides×4 as all sides will be the same in a square.Therefore, if the room ia a square, the 4 sides of room floor will be equal too.It is not a square shaped room beacause it sides are not equal for floor.We can determine by finding the sides;
diagonal is 18.75 so by using pythagoras theorem
diagonal^2 =l^2 + b^2
b^2=18.75^2 + 17^2
b =25.31 inches which is not the same as the length 17 inches.Therefore,the room is not a square
To find the y int, sub in 0 for x and solve for y
0 + 2y = 72
2y = 72
y = 72/2
y = 36....so ur y int is (0,36)
to find the x intercept, sub in 0 for y and solve for x
x + 2(0) = 72
x = 72....and ur x int is (72,0)
