Question

Graph the linear equation x-3y=-6

Answer 1

Answer: Not sure if this is right but here we go.

Explanation:

to solve for x

x-3y=-6

Add 3y on both sides, and that should give you x=-6+3y

Solve for y:

y=x/3+2

Answer 2

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.