Question

Write a system of equations with the solution (-3,-8) in standard form.

Answer 1

y=2x-2

y=3x+1

Explanation:

To solve this I will be using the point slope formula

It is as follows

y-y₁=m(x-x₁)

We can choose any m value so I will be choosing m=2

(x₁,y₁) will be (-3,-8) respectively because all we want is for the line to pass through that point

so we have

y-(-8)=2(x-(-3)

We can simplify this to

y+8=2(x+3)

y+8=2x+6

y=2x-2

We then repeat this process but choose a new m (the m value doesn't really matter as long as it's not 0)

I will choose 3

so we have

y-(-8)=3(x-(-3))

Which gives u

y+8=3(x+3)

y+8=3x+9

y=3x+1