Question

Which equation represents a line that is parallel to Y equals negative 4X +3 and passes through the point (-3,2)

The picture is the answers.
Please help

Answer 1

Hey there!

A line parallel to y=-4x+3 would have a slope of -4.

Point slope form: y-2=-4(x+3)

Simplify: y=-4x-10

Let me know if this helps :)

Answer 2

A

Explanation:

So we want an equation that is parallel to:

`y=-4x+3`

And passes through:

`(-3,2)`

First, since we want the equation to be parallel to the first, the slope must be -4. This is because parallel lines have the same slope.

Now that we know the slope of our equation is -4, we can use the point-slope form to figure out the rest.

The point-slope form is:

`y-y_1=m(x-x_1)`

m is -4. Let (-3,2) be x₁ and y₁. Thus:

`y-2=-4(x--3)`

Simplify:

`y-2=-4(x+3)`

Distribute:

`y-2=-4x-12`

Add 2 to both sides:

`y=-4x-10`

So our answer is A :)