Answer:
C
Step-by-step explanation:
3y - 5x = 15 ... A
y = 5/3 * X +15 .... slope 3/5 , y intercept 15
6y - 10x =30
(6y - 10x) /2 = 30 / 2
3y - 5x = 15 ... B
y = 5/3 * x + 15 ..... slope 3/5 , y intercept 15
∴ Answer is C
Answer:
Option A. Two parallel lines with positive slope.
Step-by-step explanation:
Thinking process:
An equation of a straight line is written as:
ay = mx + c
where a = is the coefficient of y
m = the gradient of the line
c = y -intercept
Examining the two equations:
3y − 5x = 15 ...1
6y − 10x = 30 ...2
The equations can be rearranged as follows:
3y = 5x + 15
6y = 10 x + 30 or 2 (3y = 5 x + 15)
As seen from the expression, the equation (2) is twice the equation (1)
In addition, the equations are equal if (2) is reduced to lowest terms.
The gradients will be equal.
The equations are parellel (equal gradient) with a positive slope (5 and 10 respectively)
