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These sample problems below for Applied Linear Equations 2 were generated by the MathScore.com engine.

## Sample Problems For Applied Linear Equations 2

### Complexity=1, Mode=perp-m

 1.   What slope is perpendicular to slope -2? 2.   What slope is perpendicular to slope -3/2?

### Complexity=1, Mode=para-perp

Determine if the lines are parallel, perpendicular, or neither.
 1.   -x - 2y = 0 x + 2y = 2 The lines are: --- parallel perpendicular neither 2.   y = - 5x y = x - 3 The lines are: --- parallel perpendicular neither

### Complexity=1, Mode=makeline

1.   In slope-intercept form, write the equation of the line that intersects (1, -2) and is perpendicular to y = -x + 5
Equation:
2.   In slope-intercept form, write the equation of the line that intersects (3, 1) and is parallel to

Equation:

### Complexity=1, Mode=perp-m

1What slope is perpendicular to slope -2?
Solution
To calculate the perpendicular slope, flip it and reverse the sign.
-2

Get the reciprocal
 - 12

Reverse the sign
 12

2What slope is perpendicular to slope -3/2?
Solution
To calculate the perpendicular slope, flip it and reverse the sign.
 - 32

Get the reciprocal
 - 23

Reverse the sign
 23

### Complexity=1, Mode=para-perp

Determine if the lines are parallel, perpendicular, or neither.
1
-x - 2y = 0
x + 2y = 2
The lines are:

Solution
Slope analysis of -x - 2y = 0
The equation is in standard form, ax + by = c.
The slope is calculated as m = -a/b
Therefore, the slope is -1/2

Slope analysis of x + 2y = 2
The equation is in standard form, ax + by = c.
The slope is calculated as m = -a/b
Therefore, the slope is -1/2

The slopes are the same, so the lines are parallel.
2
y = - 5x
y = x - 3
The lines are:

Solution
Slope analysis of y = - 5x
The equation is in slope-intercept form, y = mx + b
Therefore, the slope is -5

Slope analysis of y = x - 3
The equation is in slope-intercept form, y = mx + b
Therefore, the slope is 1

The slopes are not the same and don't multiply to -1, so the lines are neither parallel nor perpendicular.

### Complexity=1, Mode=makeline

1In slope-intercept form, write the equation of the line that intersects (1, -2) and is perpendicular to y = -x + 5
Equation:
Solution
The slope of the line given is -1
The perpendicular slope is 1/1
With this perpendicular slope and intersection point, now derive the equation as you did in Applied Linear Equations 1.
y = x - 3