Algebra
posted by John .
Checking a few answers to some algebra problems:
1.Find the slope of the line that passes through the points
(4,1) and (3,5).
I got
m = 51 / 3(4)
Answer is m = 4/7
2.Find the equation, in slopeintercept form, of the line that passes through the points
(3, 3) and (4, 2).
I got
m = 23 / 4  3
m = 1 / 1
m= 1
x1 = 3 and y1 = 3
y  3 = 1(x 3)
y – 3 = 1(x + 3)
y – 3 = x + 3
y – 3 + 3 = x + 3 + 3
Answer is y = x + 6
3. Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”
x + 5y = 4
2x – 5y = 2
i got
x + 2x +5y – 5y = 4 + 2
3x = 6
divide by 3
3x/3 = 6/3
x = 2
2 + 5y = 4
2 – 2 + 5y = 4 – 2
5y = 2
5y/5 = 2/5
y = 2/5
Answer = (2, 2/5)
4. Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”
2x – 7y = 3
4x + 14y = 9
"No solution"
Your thoughts? Thankyou.

you are correct for all questions.
I like how you actually did the questions and asked for verification, rather than asking how to do it.
This is what most tutors on here would like to see 
all correct.