Posted by **John** on Monday, October 15, 2007 at 3:49pm.

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 = 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.

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