# SOLUTION: 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 eve

Algebra ->  Algebra  -> Graphs -> SOLUTION: 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 eve      Log On

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 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??Found 2 solutions by BayAreaRed, MathTherapy:Answer by BayAreaRed(2)   (Show Source): You can put this solution on YOUR website!The Quick Study reference guide has a very simple explanation and I quote it here. The breakdown into sentences is mine. Read each sentence and MAKE SURE YOU UNDERSTAND IT before you go on to the next. "The slope of a line can loosely be described as the slant of the line. If the line slants up on the right end of the line, then the slope will be a positive number. If the line slants up on the left end of the line, then the slope will be a negative number. If the line is horizontal, then the slope is zero. If the line is vertical, then the line has no slope; it is undefined." Now... once you understand that, then go on to this formula: If the line is NOT vertical, then slope (indicated by the letter "m") can be found using two distinct points: A and B. Coordinates are written (x,y) with x being the horizontal point and y being the vertical point. For instance, if A's coordinates (x) are (5,6) and B's coordinates (y) are (7,3), then you would plug them into this formula: m = (y2 - y1) / (x2 - x1) = (change in y) / (change in x) = rise / run This is a complicated formula to write here, but Google "slope of a line formula" and you should see a better rendition of the formula. In the case I stated above, you would plug A's coordinates in: m = (3 - 6) over or divided by (7 - 5) = (change in y) over or divided by (change in x) = "rise" over or divided by "run" I'm sorry I cannot give you a better explanation here, but this is one of those concepts that is difficult to explain sometimes. Here is a link on this site that I use for my students (I am a tutor) that might help explain it better. http://www.algebra.com/algebra/homework/Graphs/Graphing-by-Slope-Intercept-Method.lesson I hope this helps. :) Answer by MathTherapy(1425)   (Show Source): You can put this solution on YOUR website!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 , and " + b" or the y-intercept of the equation is