Write the equation −x+3y=6 in slope-intercept form. Then graph the line described by the equation. Please help fast ?

y=x/3+2

Step-by-step explanation:

Slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

3y=x+6

We need y so we divide both sides by 3 and we get

y=x/3+2

y=1/3 + 2

Step-by-step explanation:

-x+3y=6

add x to both sides (if you add the same amount to both sides, the equation is still equal)

3y=-x+6

divide the whole thing by 3

y=1/3 + 2

so basically your slope is 1/3. That means you rise one, over three.

Plot a point at 2 on the y axis, which is the vertical line on the graph.

Go up one box, and then go right 3 and plot another point.

Keep doing the rise 1 over 3 until you have enough points for a line. 2 points should do, but more points on a graph = a better line.

By the way, slope-intercept form is y=mx+b.

m = slope (steepness of line, 1/3)    b = y-axis intercept (the place that the line touches the y axis)

If you're still stuck with linear equations, take your equation and put it into Desmos graphing calculator, which can be found with a simple search.

Thanks, friend,

- throckmorton

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