Answer:
Option A.
Step-by-step explanation:
Consider the below figure attached with this question.
Scenario 1 represented by the graph.
From the graph it is clear that the line passes through the points (1,60) and (2,120).
Slope of the line is
The slope of line is 60. It means the speed is 60 miles per hour.
Scenario 2 defined by the equation,
If an equation defined as 
, then m is slope and b is y-intercept.
The slope of line is 50. It means the speed is 50 miles per hour.
The slope of Scenario 1 is greater than slope of Scenario 2. So, the Scenario 1 shows the greater speed.
Hence, the correct option is A.
Answer:
y = x + 1
Step-by-step explanation:
The gradient of a line can be defined by the equation:
m (gradient) = (y1 – y2 ) ÷ (x1 – x2) ----> "1" and "2" should be in subscript
For (-7,-6) we use x2 and y2 (because this point can be anywhere along a line):
x2 = -7, y2 = -6
Plug these values into the formula above:
m = (y-(-6)) ÷ (x-(-7))
m = (y+6) ÷ (x+7)
At this stage, the equation can't be solved as there are two unknowns. Therefore, the gradient must be found another way. Two lines are parallel if they have the same gradient - in their y=mx+c equations, m will be equal.
x - y=7 is the line alluded to in the question. Rearranging this equation into the line equation format gives:
y = x-7 ---> The gradient (coefficient of x) is 1.
Therefore, the gradient of the other parallel line must also be 1.
This can be substituted into the previous equation to give:
1 = (y+6)÷(x+7)
x+7 = y+6
x+1 = y
Therefore, the answer is y=x+1
The answer to the question is C.
Answer:
37/40
Step-by-step explanation:
