Answer:
y = -
x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 2) ← 2 points on the line
m =
=
= - 
The line crosses the y- axis at (0, 6) ⇒ c = 6
y = -
x + 6 ← equation of line
Answer:
Total number of kilometers in the ride = 5 km
Number of kilometers Garret has already biked = k km
Number of kilometers Garret left to ride = 5 - k km
Number of minutes Garret takes per kilometer = 4 minutes.
Step-by-step explanation:
1. It takes 4 minutes for Garret to go a kilometer. Then
Number of minutes Garret takes per kilometer = 4 minutes.
2. Suppose the variable
is the number of kilometers Garret has already biked.
3. Garret is partway through a 20-minute bike ride. It takes 4 minutes for him to go a kilometer. Then
Total number of kilometers in the ride is
4. Suppose the variable
is the number of kilometers Garret has already biked. Then
km is the number of kilometers Garret left to ride.
Answer:
(d) 2x +y = 8
Step-by-step explanation:
The answer choices are shown in "standard form," so the comparison to the given equation is easier if it is written in standard form. Add 2x to both sides:
2x +y = 5 . . . . . . given equation in standard form
The other equation in a system with no solution will look like this, but will have a different constant:
2x +y = 8 . . . . . . does not intersect the given equation
_____
<em>Additional comment</em>
All of the other equations shown will intersect the given equation. One way to show this is to use the given equation to substitute for y in the answer choices:
a: 2x -(-2x+5) = 8 ⇒ 6x -5 = 8 . . . one solution: x=13/6
b: x +2(-2x+5) = 8 ⇒ -3x +10 = 8 . . . one solution: x=2/3
c: x -2(-2x+5) = 8 ⇒ 5x -10 = 8 . . . one solution: x=18/5
d: 2x +(-2x+5) = 8 ⇒ 5 = 8 . . . no solution
Answer:45000,000,000,000
Step-by-step explanation:you just have to times it