How do you write the equation y - 4 = -2(x - 5) in slope-intercept form?

1 Answer
May 12, 2016

Answer:

The equation in slope-intercept form is #y=-2x+14#.

Explanation:

The slope-intercept form of a linear equation is #y=mx+b#, where #m# is the slope and #b# is the y-intercept. In order to convert the given equation to slope-intercept form, solve for #y#.

#y-4=-2(x-5)#

Add #4# to both sides of the equation.

#y=-2(x-5)+4#

Distribute the #-2#.

#y=-2x+10+4#

Simplify.

#y=-2x+14#

The slope is #-2# and the y-intercept is #14#.

graph{y=-2x+14 [-11.04, 8.96, -1.616, 8.38]}