Answer:
Step-by-step explanation:
Find the difference between the 2 points.
For example, (8, 9) (5, 3).
Compare the difference between the x's, in this case 8 and 5. The difference is 3. Do the same with the y's, 9 and 3. The difference is 6.
To find the slope, it's y/x. The slope in this situation is 6/3. Simplify. The slope is 2.
To find the y-intercept, insert the slope and one of the 2 points in the beginning into y = mx + b & solve for b.
For example, if we use the ordered pair (5, 3) the equation would look like:
3 = 2(5) + b, Solve for b.
Multiply. 3 = 10 + b
Get b by itself by adding - 10 to both sides.
-7 = b
The y-intercept is -7. So, in this case, the equation is y = 2x - 7.
-6 and -8.
Set as x and x-2
Create an equation of 3(x) = (x-2)-10
Solve, x = -6.
So, x-2 = -8.
The expression relating the distance and the time is:
velocity = distance / time
We are given the velocity as 12 km/h
Part a:
for t = 3.5 hours
velocity = distance / time
distance = velocity x time
distance = 12 x 3.5 = 42 km
Part b:
for s = 30 km
velocity = distance / time
time = distance / velocity
time = 30 / 12 = 2.5 hours
