SOLUTION: how to write 12x + 3y = 6 in function form and then graph. also 4x - 2y = 16

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 Click here to see ALL problems on Equations Question 128458: how to write 12x + 3y = 6 in function form and then graph. also 4x - 2y = 16Answer by jim_thompson5910(28504)   (Show Source): You can put this solution on YOUR website!# 1 Start with the given equation Subtract from both sides Rearrange the equation Divide both sides by Break up the fraction Reduce So the equation is now in slope-intercept form () where the slope is and the y-intercept is So to get the equation into function form, simply replace y with f(x) So the equation changes to the function Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is -4 and the run is 1. This means that to go from point to point, we can go down 4 and over 1 So starting at , go down 4 units and to the right 1 unit to get to the next point Now draw a line through these points to graph So this is the graph of through the points and # 2 Start with the given equation Subtract from both sides Rearrange the equation Divide both sides by Break up the fraction Reduce So the equation is now in slope-intercept form () where the slope is and the y-intercept is So to get the equation into function form, simply replace y with f(x) So the equation changes to the function Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is 2 and the run is 1. This means that to go from point to point, we can go up 2 and over 1 So starting at , go up 2 units and to the right 1 unit to get to the next point Now draw a line through these points to graph So this is the graph of through the points and