Answer:
1) (2,0) and (0,-1)
2) (-7/3,0) and (0,7/3)
3) (3,0) and (0,-21)
4) (-20/3,0) and (0,4)
Step-by-step explanation:
The equation of the line has the form:
y=mx+b
Where m is the slope and b is the y intercept.
Then, you must solve for y in each equation to know the y-intecept.
To know the x-intercept you must  substitute y=0 into each equation and solve for x. Therefore:
1) [tex]x-2y=2\\-2y=-x+2\\y=\frac{1}{2}x-1[/tex]
Then: b=-1
When y=0
[tex]0=\frac{1}{2}x-1\\1*2=x\\x=2[/tex]
Answer: (2,0) and (0,-1)
2) [tex]-3x+3y=7\\3y=3x+7\\y=x+\frac{7}{3}[/tex]
Then b=7/3
When y=0
[tex]0=x+\frac{7}{3}\\x=-\frac{7}{3}[/tex]
Answer: (-7/3,0) and (0,7/3)
3) [tex]7x-y=21\\y=7x-21[/tex]
b=-21
When y=0
[tex]0=7x-21\\7x=21\\x=3[/tex]
Answer: (3,0) and (0,-21)
4) [tex]3x-5y=-20\\5y=3x+20\\y=\frac{3}{5}x+4[/tex]
b=4
When y=0
[tex]0=\frac{3}{5}x+4\\3x=(-4)(5)\\x=-\frac{20}{3}[/tex]
Answer: (-20/3,0) and (0,4)
