How do you graph using the intercepts for #-4x-15y=-17#?

Question

1544 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-11-07T23:22:32

Draw a graph, plot the two intercepts, and draw a line through the two points...

graph{y = 17/15-(4 x)/15 [-10, 10, -5, 5]}

my first time using this graph thing, hope it helps :)

To find the intercepts, we plug in zero for x and y, respectively.
First we'll do x...
let #x=0#,

#-4(0) - 15y = -17#

# - 15y = -17#

#y = 17/15 # when # x=0#

this gives us the point #(0, 17/15)#

Now, let #y=0#

#-4x - 15(0) = -17#

# - 4x = -17#

#x = 17/4 # when # y=0#

this gives us the point #(17/4 , 0)#