Equations of lines-solving systems of linear equations

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Reference no: EM13124936

1. Find the slope of the line that passes through the points (2, 3) and (5, 8).

2. Find the equation of the line that passes through the points (3, -2) and (4, -2).

3. Find the equation, in standard form, with all integer coefficients, of the line perpendicular to x + 3y = 6 and passing through (-3, 5).

4. Solve the system of equations using the substitution 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."

-3x + y = 1

5x + 2y = -4

5. 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."

-7x + y = 8

2x - y = 2

6. 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."

3x - 2y = -7

-9x + 6y = 21

Reference no: EM13124936

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