Answer:
(5,4) & (8,-10)
Step-by-step explanation:
First step:
[tex]y=mx+b[/tex]
You can use any number you want for b (I used 4)
[tex]y=-\frac{4}{5} x+4[/tex]
Make x=0
[tex]y=-\frac{4}{5} (0)+4[/tex]
[tex]y=4[/tex]
Make y=0
[tex]0=-\frac{4}{5} x+4[/tex]
Subtract 4 from both sides
[tex]-4=-\frac{4}{5} x[/tex]
Divide both sides by [tex]-\frac{4}{5}[/tex]
[tex]x=5[/tex]
Second step:
In order to make a line perpendicular to another the slope of the second line will be the negative inverse of the first line. So [tex]m=-\frac{4}{5}[/tex] will be [tex]m=\frac{5}{4}[/tex] for the second line.
Then you just need to repeat the process in first step to get the intercepts. (Again I used a random number like -10 for b)
