Solution:
The first car can travel 75 miles on 5 gallons of gas.
So per mile gas consumed by car
gallon
The second car can travel 240 miles on 20 gallons of gas.
So per mile gas consumed by car
gallon
It mean Sam should rent the First car.
Sam is renting one of two cars to go on a 300-mile trip.
So total number of gallons of gas required
Total cost of 20 gallons of gas
dollar
The first equation, 8x - 9y = - 23
Obtain the equation in slope- intercept form
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (
, 3) and (x₂, y₂ ) = (- 4, - 1 )
m =
= (- 4)/-
= 
partial equation is y =
x + c
to find c substitute either of the 2 points into the partial equation
using (- 4, - 1 ), then
- 1 = -
+ c ⇒ c = 
y =
x +
← in slope- intercept form
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
rearrange the slope- intercept equation into this form
multiply through by 9
9y = 8x + 23 ( subtract 9y and 23 from both sides )
8x - 9y = - 23 in standard form
I would have used graph b. Because it shows the decrease more than graph a.
Answer:
Step-by-step explanation:
To calculate the midpoint, you need to plug in the values of x and y into the midpoint formula.
M ( x1 + x2/2 , y1 + y2/2)
M [ -8 + 4/2 , -7 + 9/2]
M ( -2, 1)
Y = -4/3x -1/2 , perpendicular slopes are opposite reciprocals