Question

HELP! Might have to zoom in

Answer 1

To graph a line, first put the equation into slope-intercept form: $y=mx+b$. So what can we do with our equation, $-3y=x-6$, to get it into slope-intercept form? If we divide both sides of the equation by $-3$, we get $y=-\dfrac{x}{3}+2$. This gives us several pieces of information. Remember that the constant term, the one without a variable, tells us the y-coordinate of the y-intercept. The y-intercept is where the graph crosses the x-axis. So here, the constant term is 2; so the y-intercept is (0,2). That is one of the points. Now what does the slope represent? It is rise/run. Here it is -1/3. So from our y-intercept, (0,2), we can go down one unit and to the right 3 units. This new point is (3,1). From that point we can apply that again: go down 1 and right 3 units to get another point, (6,0).