On graph paper, graph line MU for M(-1,1) and U(4,5).
a) Calculate the slope of MU then write an equation for the line.
b) Calculate MU (the distance from M to U).
c)Are there any similarities to the calculations used in parts (a) and (b)?
Any differences?
Answers
Answer:
Slope = 4 / 5
5y = 4x + 9
Distance = D = 6 units
Step-by-step explanation:
A)
We are given two point
M = ( -1 , 1 )
U = ( 4 , 5 )
We know that
slope = m = ( y2 - y1 ) / ( x2 - x1 )
Putting values we get
m = ( 1 - 5 ) / ( -1 - 4 ) = - 4 / - 5 = 4 / 5
From the graph we see that y intersect c = 1.8 = 18 / 10 = 9 / 5
We know that in general equation of line is given as
y = mx + c where m = slope and c = y intersect
So
y = (4/5)x + 9/5
Multiplying by 5 on both sides we get
5y = 4x + 9 ...........(1)
Equation one is the required equation.
B)
The distance formula for two points is given as
D = √( (y2 - y1)² + (x2 - x1)² )
Putting the values we get
D = √( (-4)² + (-5)² ) = √(16 +25) = √36 = 6
Thus
Distance = D = 6 units
C)
Similarities
In both cases we find out the
y2 - y1 and x2 - x1
Difference
In first case we divide (y2 - y1) by (x2 - x1) but in second case take square of (y2 - y1) and (x2 - x1) , add them and then take under root
Answer:
Step-by-step explanation: