Answer:
4.123 units
Step-by-step explanation:
Data provided:
Coordinates of point 1 as ( 4 , 2)
and,
Coordinates of point 2 as ( 0 , 1 )
Now,
The distance between the two point whose coordinates are given is calculated using the formula as:
distance = 
on substituting the values, we get
distance = 
or
distance = 
or
distance = 
or
Distance = √17 = 4.123 units
As soon as possible after the lecture
Answer:
y
=
3
2x
−
5
Step-by-step explanation:
Answer:
a) For a constant increment in x-variable, there is a constant increment in y-variable, for example, for x = 0 to x = 0.5 (increment = 0.5) y-variable goes from 60 to 62 (increment = 2); the same is valid for any couple of (x,y) values. This behaviour is characteristic of linear equations.
b) slope:
m = (increment in y-variable)/(increment in x-variable) = 2/0.5 = 4
y-intercept:
y1 = m*x1 + h
60 = 4*0 + h
60 = h
equation: y = 4x + 60
where y represents scores and x represents hours spent studying
c) The slope indicates that you need to study 1 hour to increase your score in 4 points
The y-intercept indicates that you will get at least a score of 60, even though you hadn't studied
