Question

How do you write an equation of a line given slope 2 and passes through (0,-4)?

Answer 1

`y=2x-4`

Explanation:

For this, we use the point-gradient formula:
`y-y_1=m(x-x_1)`
Where (x_1,y_1) is a specific point that lies on the line (in this case, we are given `(0,-4)`
and `m` is the gradient/slope of the line, in this case `2`

By putting these values in, we get:
`y-(-4)=2(x-0)`
`y+4=2x`
`y=2x-4`