Question

How do you write the equation for intercept (4,-3), m=-1

Answer 1

`\large\boxed{y=-x+1}`

Explanation:

The slope-intercept from of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept

We have the slope m = -1 and the point (4, -3) → x = 4, y = -3.

Substitute to the equation:

`-3=(-1)(4)+b`

`-3=-4+b` add 4 to both sides

`-3+4=-4+4+b`

`1=b\to b=1`