Answer 74. y=2x
a) The line passes thought the origin, This is true.
if x=0 ⇒y=2*0=0 then , the line passes thought the origin (0,0).
b)On the line the value of eche abcissa is twice the value of its corresponding ordenate, this is false.
if x =2 ⇒y=4, therefore on the line the value of each abcissa is half the value of its corresponding ordenate.
c)The line has a slope of 2; this is true
m=2
d)The line is parallel to a line passing throught point (1,-3) (3,1) this is true, because the slope is the same.
Given two points (x₁,y₁) and (x₂,y₂) the slope is:
m=(y₂-y₁) / (x₂-x₁)
inThis case:
m=(1+3) / (3-1)=4/2=2
Answer:b)On the line the value of eche abcissa is twice the value of its corresponding ordenate. This is not true