An equation parallel and perpendicular to 4x+5y=19

Parallel line:

Perpendicular line:

Step-by-step explanation:

we are given equation 4x+5y=19

Firstly, we will solve for y

we can change it into y=mx+b form

so,

Parallel line:

we know that slope of two parallel lines are always same

so,

Let's assume parallel line passes through (1,1)

now, we can find equation of line

we can plug values

now, we can solve for y

Perpendicular line:

we know that slope of perpendicular line is -1/m

so, we get slope as

Let's assume perpendicular line passes through (2,2)

now, we can find equation of line

we can plug values

now, we can solve for y

why can't you?

step-by-step explanation: