Checking a few answers to some algebra problems:

Question

1.Find the slope of the line that passes through the points
(-4,1) and (3,5).
I got
m = 5-1 / 3-(4)
Answer is m = 4/7

2.Find the equation, in slope-intercept form, of the line that passes through the points
(-3, 3) and (-4, 2).
I got
m = 2-3 / -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.

Answer 1

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

Answer 2

all correct.