How do you write an equation in standard form given that the line has slope -2 and y-intercept of 2?

1 Answer
Jun 7, 2015

The linear equation in standard form is #2x+y=2# .

First write the equation in slope-intercept form: #y=mx+b#, where #m# is the slope and #b# is the y-intercept.

Slope-intercept form: #y=-2x+2#

The standard form for a linear equation is #"A"x+"B"y="C"#, where A, B, and C are integers, and #"A">0# . Any fractions must be converted into whole numbers.

Convert #y=-2x+2# into standard form by adding #2x# to be sides of the equation.

#2x+y=2# is the standard form of the linear equation where #m=-2# and the y-intercept is #2#.

Resources:
http://www.mathwarehouse.com/algebra/linear_equation/slope-intercept-to-standard-form.php

http://www.virtualnerd.com/algebra-1/linear-equation-analysis/slope-intercept-form/slope-intercept-form-examples/slope-intercept-to-standard-and-point-slope-form