Graph the linear equation x-3y=-6

Accepted Solution

Answer:Step-by-step explanation:One of the easier approaches to graphing a linear equation such as this one is to solve it for y, which gives us both the slope of the line and the y-intercept.x-3y=-6 → -3y = -x - 6,  or 3y = x + 6.Dividing both sides by 3, we get   y = (1/3)x + 2.So the slope of this line is 1/3 and the y-intercept is 2.Plot a dot at (0, 2).  This is the y-intercept.  Now move your pencil point from that dot 3 spaces to the right and then 1 space up.  Draw a line thru these two dots.  End.Alternatively, you could use the intercept method.  We have already found that the y-intercept is (0, 2).  To find the x-intercept, let y = 0.  Then x = -6, and the x-intercept is (-6, 0).Plot both (0, 2) and (-6, 0) and draw a line thru these points.  Same graph.