# SOLUTION: write in slope intercept (if possible ) & graph x - 2y = 8

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 Algebra: Linear Equations, Graphs, Slope Solvers Lessons Answers archive Quiz In Depth

 Question 472713: write in slope intercept (if possible ) & graph x - 2y = 8Answer by Bill M Wilcox(2)   (Show Source): You can put this solution on YOUR website!In this problem you are looking at a linear equation in two variables (x and y). This is an equation which can be written in the form Ax + By = C. You can see this by writing it as 1x + (-2)y = 8, so that A = 1, B = -2, and C = 8. It is called a linear equation because the graph of this kind of equation is a straight line, if it exists. To write this equation in slope-intercept form, just manipulate it so that y is isolated on one side of the equation (this is the same as solving for y), like this: This is called the slope-intercept form because it displays the slope of the straight line determined by this equation (the coefficient of x, which is 1/2 in this case), and the y-intercept (the y-value where the graph intercepts the y-axis, which is -4 in this case). Consult your textbook or speak with your teacher or fellow students for more information about this type of equation. To graph a linear equation in two variables, you really only need two points. One point, the y-intercept, is given by setting x to 0 and solving for y: The y-intercept is therefore (0,-4) since, when x=0, y=-4. A second point is given by setting y to 0 and then solving for x: The x-intercept is therefore (8,0) since, when y=0, x=8. Now that you have two points, you can just plot them on a pair of coordinate axes and draw the straight line that goes through both of them (there can only be one).