How do you rewrite y+4=-2(x-1) in slope-intercept form

First, distribute -2 into the parentheses which gives you y+4=-2x+2. Subtract 4 to both sides and you get y=-2x-2. This would be the slope-intercept form of the original equation.

Slope Intercept Form (SIF) is the standard way to write the equation for a line on a graph. It can be represented as

y=mx+b where "m" is the slope and "b" is the y-intercept.

To put an equation in SIF, we must simply solve the equation like we are solving for y, and then order and simplify our terms.

y+4=-2(x-1)
y+4=-2x+2
   -4        -4
y=-2x-2

There is no more simplifying to do, so this equation is y=-2x-2 in Slope Intercept Form.

 

Looks pretty good to me!