W - a width
3w - a length
27 ft² - an area
Therefore:
w · 3w = 27
3w² = 27 |:3
w² = 9 → w = √9 → w = 3
3w = 3 · 3 = 9
width = 3
length = 9
The perimeter:
P = 2 · width + 2 · length
P = 2 · 3 + 2 · 9 = 6 + 18 = 24 ft.
1. Slope intercept form. First find two points to get slope: (0,-3) and (-3,-4). Slope is
(-4 - -3)/(-3 - 0)= 1/3
Use one of the points of (x,y) to solve for b
Y=1/3x + b
-3 = 1/3(0) + b
-3 = b so your slope intercept equation is
Y = 1/3x - 3
2. Rate of Change is slope. Your points are (0,10) and (24,6) so slope is (6-10)/(24-0)
= - 1/6 which means that for each 1 unit increase in x, y decreases by 1/6.
3. Standard form is ax + by =c
Notice it is the same line as in the first graph so it's the same equation
y = 1/3x - 3
First, you cannot have fractions, so you have to multiply the equation by 3 to get rid of the 1/3.
3y= x - 9. Now move the x over:
-x + 3y = - 9. Now get rid of the negative value on x by multiplying the entire equation by -1:
x - 3y = 9
To calculate the slope of any graph y = mx + b is usually used
Multiply straight across
5/1 * 3/4 = 15/4
now change it into a mixed number
3 3/4
