Question

Which of the following equations with graph a line perpendicular to Y equals 3/4 X +5

Y=3/4 X -5
Y=-3/4x+5
Y=4/3x+5
Y=-4/3x+5

Answer 1

`y = (-4)/(3)x + 5`

Step-by-step explanation:

The general form of the linear equation is:

y = mx + c

where m is the slope and c is the y-intercet

For two lines to be parallel:

m₁ × m₂ = -1

Now, for the given line:

`y = (3)/(4)x + 5`

The slope of the given line (m₁) is
`(3)/(4)`

Now, we get the slope of the line perpendicular to the given one:

`m_(1)*m_(2) = -1\\(3)/(4)*m_(2)=-1 .....> m_(2)=(-4)/(3)`

From the given choices:

The only given option with slope
`(-4)/(3)` is
`y = (-4)/(3)x + 5`

Hope this helps :)