Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be perpendicular, their slopes have to be the negative reciprocal of each other. (Basically flip the sign +/- and the fraction(switch the numerator and the denominator))
For example:
Slope = 2 or 
Perpendicular line's slope = 
(flip the sign from + to -, and flip the fraction)
Slope = 
Perpendicular line's slope = 
(flip the sign from - to +, and flip the fraction)
y = 1/3x + 4 The slope is 1/3, so the perpendicular line's slope is 
or -3.
Now that you know the slope, substitute/plug it into the equation:
y = mx + b
y = -3x + b To find b, plug in the point (1, 2) into the equation, then isolate/get the variable "b" by itself
2= -3(1) + b Add 3 on both sides to get "b" by itself
2 + 3 = -3 + 3 + b
5 = b
y = -3x + 5
Answer:
1=0.84 per gallon
2=5.25 per lb
Step-by-step explanation:
Divide the cost or amount by how many of what there is. Ex= 10.5/2=5.25
A) Determine an equation for the population with respect to the number of years after
2014
, assuming that the population increases at a constant rate.
Solution
The function will be of the form
p
=
a
r
n
, where
a
is the initial population,
r
is the rate of increase,
n
is the time in years and
p
is the population.
p
=
584
,
513
(
1.0002
)
n
b) Using this model, estimate the population of Wyoming in
17
years.
solution
Here,
n
=
17
.
p
=
584
,
513
(
1.002
)
17
p
=
604
,
708
c) Using this model, determine in how many years it will take for the population to exceed
600
,
000
.
C
its C it is c answer for lession 1 leaping lizard!s
