MATH SOLVE

3 months ago

Q:
# Graph the linear equation x-3y=-6

Accepted Solution

A:

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.