Question

select all of the following lines that are parallel to the line 4x + y =5

Answer 1

select all of the following lines that are parallel to the line 4x + y =5​

we have

4x+y=5

isolate the variable y

y=-4x+5

the slope is m=-4

Remember that

If two lines are parallel then their slopes are equal

that means

All lines with slope equal to -4 are parallel to the given line

therefore

the answer

8x+2y=4 ------> slope m=-4

y=-4x-1 ------> slope m=-4

y=-4z+9 -----> slope m=-4