The system has:
- No solutions for two parallel lines.
- 1 solution for two nonparallel lines.
- Infinite solutions for two equations that describe the same line.
<h3>How to identify the number of solutions for the systems?</h3>
A system of two linear equations is given by:
y = a*x + b
y = c*x + d
1) The system has no solutions when both lines are parallel lines, this happens when both lines have the same slope and different y-intercept.
y = a*x + b
y = a*x + d
2) The system has one solution when the lines have different slopes:
y = a*x + b
y = c*x + d
3) The system has infinite solutions when both equations describe the same line:
y = a*x + b
y = a*x + b
If you want to learn more about systems of equations:
brainly.com/question/13729904
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Answer:
parallel line: y=-3x+14
perpendicular line: y=1/3x +2/3
Step-by-step explanation:
For the parallel line, use the point-slope formula to find the equation of the parallel line (since the slope is the same as the given line and the point (4,2) is given. For the perpendicular line, use the opposite reciprocal of the slope of the given line and use the point-slope formula again. The point-slope formula is Y-Y1=m(X-X1)
I’m pretty sure it’s 20 could be wrong