SOLUTION: I tried this problem and still do not have a answer. What are the x,y intercepts for this line? (-4,5)(8,-7)

Algebra ->  Systems-of-equations -> SOLUTION: I tried this problem and still do not have a answer. What are the x,y intercepts for this line? (-4,5)(8,-7)      Log On


   

Question 967683: I tried this problem and still do not have a answer.
What are the x,y intercepts for this line?
(-4,5)(8,-7)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
to find out what are the x,y intercepts for this line, first use given points to find equation of a line
(-4,5)
y=mx%2Bb
5=m%28-4%29%2Bb
5=-4m%2Bb........eq.1
solve eq.1 for b
5=-4m%2Bb
5%2B4m=b
(8,-7)
y=mx%2Bb
-7=m%288%29%2Bb
-7=8m%2Bb.....eq.2
substitute b
-7=8m%2Bb
-7=8m%2B5%2B4m
-7-5=12m
-12=12m
-12%2F12=m
-1=m....go to 5%2B4m=b and find b
5%2B4%28-1%29=b
5-4=b
1=b
so, the equation of your line is y=-x%2B1
since y-intercept occurs where x=0, so it is at y=1
x-intercept occurs where y=0, so it is at 0=-x%2B1=>x=1