Question

Select the correct answer from each drop down menu.

The slope of diagonal OA is
A) 4/3
B) 3/4
C) 1
,and it’s equation is
A) 4x-y=0
B) x-3y=0
C) 4x-3y=0

Answer 1

(A)
`\text{The slope of OA is }(4)/(3)`

(C) It’s equation is 4x-3y=0.

Explanation:

Point O is at (0,0)

Point A is at (3,4)

`\text{Slope of OA}=(4-0)/(3-0) \\m=(4)/(3)`

The equation of a straight line is in the form: y=mx+b

The y-intercept of the line OA=0

Therefore, we have:

`y=(4)/(3)x+0\\3y=4x+0\\$Subtract 3y from both sides$\\4x-3y=0`

The equation of the line is: 4x-3y=0