-4x-5y=-10

Question

hot to graph the equation

Answer 1

First, put the equation in point-slope form, like this:

 

1) -4x-5y=-10 

 

Adding 4x to each side...

 

2) -5y = -10 + 4x

 

Dividing both sides by -5 to get 'y' by itself...

 

3) y = 2 - 4/5x

 

Rearranging, to make it a little easier to look at...

 

4) y = -4/5x + 2

 

So, now you know that the slope of the line is -4/5, and the y-intercept is 2. On the y-axis, count up 2, and place a point at (0,2)

 

Now, since we know slope is "rise over run," and that lines with a negative slope are oriented to the left, count up 4 and left 5, and place a point there, at (-5, 6)

 

You can repeat that process as many times as you like, so you've got points at (-10, 10), (-15, 14), etc. 

 

You can also go the opposite direction, counting down 4, right 5, so you've got points at (5, -2), (10, -6), etc.

 

Then just draw a line through the points you've plotted on the graph.