You can't. If you think about the straight line on a graph, those numbers
describe a single point that the line goes through, and they don't tell you
anything about the slope of the line, or where it crosses the x-axis or the
y-axis. So I don't think you can tell the constant of variation from one point.
Answer: option B. it has the highest y-intercept.
Explanation:
1) point -slope equation of the line
y - y₁ = m (x - x₁)
2) Replace (x₁, y₁) with the point (5,3):
y - 5 = m (x - 3)
3) Expand using distributive property and simplify:
y - 5 = mx - 3m ⇒ y = mx + 5 - 3m
4) Compare with the slope-intercept equation of the line: y = mx + b, where m is the slope and b is the y-intercept
⇒ slope = m
⇒ b = 5 - 3m = y - intercept.
Therefore, for the same point (5,3), the greater m (the slope of the line) the less b (the y-intercept); and the smaller m (the slope) the greater the y - intercept.
Then, the conclusion is: the linear function with the smallest slope has the highest y-intercept (option B).
Answer:
2 hours
Step-by-step explanation:
First we need to know the distance Liam travelled using the bike.
If his speed was 8 mph and he travelled 3 hours, the distance travelled by bike is:
d = 8 * 3 = 24 miles
The total distance is 30 miles, so the remaining is:
30 - 24 = 6 miles
He travelled 6 miles with the speed of 3 mph, so the time walking is:
time = 6 / 3 = 2 hours
Answer:
78
Step-by-step explanation:
5^2 = 25 5^3 = 125 them two added together equals 150
6^2 = 36 so 36 plus 36 equals 72
150-72=78
Set up your equation:
1 = 7x - 3
Add 3 to both sides:
7x = 4
Divide both sides by 7:
x = 4/7
Hope this helps!
