Question

Sketch the graph of each line; 6x-5y=-20

I quite literally just forgot how to do this correctly, so help is very much appreciated!!

Answer 1

Answer: Draw a straight line through (0,4) and (5,10)

Step-by-step explanation

If you solved 6x-5y=-20 for y, you would get y = (6/5)x + 4

Plug in x = 0 to arrive at y = 4.

x = 0 and y = 4 pair up to get the point (0,4) which is the y intercept.

To get another point on this line, go up 6 and right 5. This "up 6, right 5" is directly because of the slope 6/5.

Start at (0,4) , move up 6 and right 5 to arrive at (5,10)

Therefore you should plot the two points (0,4) and (5,10), then draw a straight line through them. GeoGebra can be used to verify. Desmos works as well. There are many similar alternatives.