Answer:
y= 
x
Step-by-step explanation:
Given the two points:
- Origin (x1, y1) = (0, 0)
- The point (x2, y2) = (5, 9)
Because the x-axis is labeled time (in minutes) and the y-axis is labeled distance (in kilometers).
=>Time, x the independent variable,and distance is the dependent variable.
We have the standard form of a linear equation is:
y= mx + b where a is the slope
We know that, the slope of the function is:
m = 
In this situatuon, m = 
=> y= x + b(1)
The line that goes through (0, 0) so we substitute (0, 0) into (1), we have:
0 = *0 + b
<=> b = 0
So our equation that the graph represents is: y= x
This method can be very useful, so please try to remember it
Answer:
√122
Step-by-step explanation:
To find the distance/length between two points
Use this formula: 
Answer:
-2.25
Step-by-step explanation:
The only way the expression can equal zero is if the numerator is zero.
The numerator is the product of 5 and the expression m + 2.25
A product is equal to zero if one of the factors equals zero.
5 is obviously not equal to zero, so the only way the product of 5 and m + 2.25 can equal zero is if the factor m + 2.25 equals zero.
We set m + 2.25 equal to zero and solve for m.
m + 2.25 = 0
Subtract 2.25 from both sides.
m = -2.25
If you add -2.25 to 2.25, you get zero. Zero times 5 equals zero. That meakes the expression equal to zero.
Answer: -2.25
If c is a scalar and u is a vector, then ||cu|| = |c| ||u||.
(|…| means absolute value, ||…|| means magnitude)
We have
||u|| = √(5² + (-12)²) = √169 = 13
and with c = -3, it follows that
||cu|| = |-3| × 13 = 3 × 13 = 39
