B- 18 units to the left of zero
Answer:
y = 0.5x + 1
Step-by-step explanation:
4 up, 8 right
rise over run
slope = 4/8 or 1/2
y-int = 1
Answer:
Option C: 4√10
Step-by-step explanation:
From the geometric mean theorem, when we have this type of rectangle with a height of say "x" and left and right distances to this height as "a" and "b" respectively, then the theorem says that;
x/a = b/x
Applying it to this question;
Altitude is "m"
Left side measurement is 8
Right side measurement is 20
Thus;
m/8 = 20/m
Cross multiply to get;
m² = 160
m = √160
m = √(16 × 10)
m = 4√10
Slope-intercept form:
y = mx + b "m" is the slope, "b" is the y-intercept
For lines to be perpendicular, their slopes have to be the opposite/negative reciprocal (flipped sign and number)
For example:
slope is 2
perpendicular line's slope is -1/2
slope is -3/4
perpendicular line's slope is 4/3
#1: The slopes are the same, meaning they are parallel lines
#2: First isolate the "y" in the first equation
-4x + 5y = -5
5y = -5 + 4x
y = -1 + 4/5x They are not perpendicular because the slopes are 4/5 and -4/5
#3: Isolate "y" in the second equation
8y = 3x - 32
y = 3/8x - 4 They are perpendicular
#4: Isolate "y" is the 1st equation
10y = -9x
y = -9/10x They are parallel lines
The 3rd choice is your answer
