Y = -x + 3
y = 3/2x - 2
-x + 3 = 3/2x - 2....multiply everything by 2 to get rid of the fraction
-2x + 6 = 3x - 4
-2x - 3x = -4 - 6
-5x = -10
x = -10/-5
x = 2
y = -x + 3
y = -2 + 3
y = 1
solution is (2,1)
The general line through (a,b) and (c,d) is
(c-a)(y-b)=(d-b)(x-a)
Here that's
(1 - - 5)(y - - 5) = (4 - -5)(x - - 5)
6(y+5)=9(x+5)
6y + 30 = 9x + 45
-15 = 9x - 6y
3x - 2y = -5
Answer: 3x - 2y = -5
We could put that in slope intercept form,
2y = 3x + 5
y = (3/2) x + 5/2
Answer: y = (3/2) x + 5/2
Answer: isolate the variable
Step-by-step explanation: