Answer:
y = - 2x - 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 2) and (x₂, y₂ ) = (1, - 8)
m = 
= 
= - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 2, - 2), then
- 2 = 4 + c ⇒ c = - 2 - 4 = - 6
y = - 2x - 6 ← equation of line
The Length of the rectangle is 18 unit.
<h3>
What is the Perimeter of a Rectangle?</h3>
Perimeter of rectangle = 2(length + width)
Given the following:
Let x represent the width of the rectangle
Width of the rectangle = x
Length of the rectangle = 4x + 6
Perimeter of rectangle = 42 units
Therefore, we would write the following equation to find x based on the formula for finding the perimeter of a rectangle:
2(4x + 6 + x) = 42
2(5x + 6) = 42
10x + 12 = 42
10x = 42 - 12
10x = 30
10x/10 = 30/10
x = 3
The width (x) = 3.
Length of the rectangle = 4(3) + 6
Length of the rectangle = 18 unit.
Learn more about perimeter of rectangle on:
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Answer:
y = -16
Step-by-step explanation:
f(x)=3/4x+12 (replace f(x) with y)
y =3/4x+12 (rearrange to express x in terms of y)
y - 12=3/4 x
3/4 x = y - 12
3x = 4(y - 12)
x = (4/3)(y - 12)
x = (4/3)y - (4/3)(12)
x = (4/3)y - 16
(y) = (4/3)y - 16
(x) = (4/3)x - 16
comparing to general form
y = mx + b where b is the y-intercept
b = -16
Hence the y-intercept is y = -16
0.42>0.24 4 tenths and 2 hundredths is larger because when you write it down in decimal form the larger of the two has the biggest number in front
