The equation of a line in Slope-Intercept form, is:
Where "m" is the slope of the line and "b" is the y-intercept.
By definition:
- The slopes of parallel lines are equal and the y-intercepts are different.
- The slopes of perpendicular lines are opposite reciprocals.
For this case you need to rewrite the equations given in the exercise in Slope-Intercept form by solving for "y".
- Line #1:
You can identify that:
- Line #2:
You can identify that:
Therefore, since:
You can conclude that: The graphs of the equation are parallel.
Second step
PEMDAS
Parenthesis exponents division addition subtraction
Answer:
mean ≈ 25.45
Step-by-step explanation:
mean is calculated as
mean = 
We require the sum for both classes
class A
mean = 
= 40 ( multiply both sides by 9 )
sum = 9 × 40 = 360
class B
mean = 
= 20 ( multiply both sides by 24
sum = 24 × 20 = 480
Total sum for both classes = 360 + 480 = 840 , then mean for both classes is
mean = 
≈ 25.45 ( to 2 dec. places )
Answer:
y-intercept = -4
Step-by-step explanation:
equation of a line: y=mx+b
two points given are (5, -6.5) and (-12, 2)
first we can easily find value of m or the slope, by using the slope formula. the value of m=-0.5.
formua to find m: 
= -0.5
to find the value of b (the y-intercept), we need to plug in a y and x value, we are given 2 ordered pairs, you can use either one and plug x-value in for x and the y-value in for y.
if i plug in (5, -6.5), my equation looks like this: -6.5=5(-0.5)+b
then you just solve for b and it turns out to be -4.
The answer for this question is -6x-11
