Question

at which point do the two equations 3x+5=y+4x and y=x2 intersect? problem is the picture below, the choices are there.

Answer 1

A. and D.

Explanation:

Hey there!

In order to to find the point at which these two equations intersect at, you need to first rewrite the equations if needed so that they are in the form:

`y=mx+b`

or

`y=ax^2+bx+c`

The first equations needs to be rewritten

`3x+5=y+4x`

make
`y` by itself

`3x+5-4x=y`

Simplify LHS

`y=-x+5`

Now we have it in slope-intercept form

Looking at the equation, we can tell that the slope of the line is
`-1` and the y-intercept is 5

Now you can graph this equation easily (image down below)

The second equation is already in form so there is no need to rewrite anything

We can go straight to graphing (image down below)

Now plot both equations on the same graph (image down below)