Question 241527
Slope-Intercept Form?

In laymans terms, can you explain the simplest way I can learn how to identify the slope and y intercept?

Example 2x-y=12

I have no idea where to even start??


For any equation to be in slope-intercept form, it has to be in the form, y = mx + b, where m, or the coefficient of x is the slope, and " + b" is the y-intercept.


Now, let's take your example, 2x - y = 12


We have to first of all put this equation in slope-intercept form


2x - y = 12 -----> - y = - 2x + 12 (subtract 2x from both sides of equation)


- y = - 2x + 12 ------> y = 2x - 12 (divide each side of equation by - 1)


Now that we have the equation in slope-intercept form, y = 2x - 12 indicates that m or slope of the equation is {{{highlight_green(2)}}}, and " + b" or the y-intercept of the equation is {{{highlight_green(- 12)}}}