Question

the graph of the equation 2X-5y+3=0 would be parallel with which of the following equation? (A)4x+10y-6=0 (B)6x-5y-9=0 (C)4x-10y= -6 (D)15y-6x-9=0​

Answer 1

Answer:

A

Step-by-step explanation:

A is the correct options

Answer 2

The graph of the given equation will be parallel to 4x+10y-6=0(option A)

The equations having the same slope but different y-intercept is called to be parallel.

Given equation: 2x-5y+3=0

we will convert it into the form of y=mx+c, where 'm' is the slope and 'c' is the y-intercept.

2x-5y+3=0

-5y=-2x-3

eliminating negative signs from both sides

5y= 2x+3

y= (2/5)x + (3/5)

comparing this with y=mx+c we get,

slope m= 2/5  and y-intercept c= 3/5

Option A: 4x+10y-6=0

converting this in form of y=mx+c

4x+10y-6=0

10y= -4x+6

y=-((4/10)x - (6/10))

y= -((2/5)x - (3/5))

when we take the negative sign common we can see that the slopes for both the equations are the same while the y-intercept is different.

Hence, A is the correct answer.