1. A line parallel to y=-7x+5 is?
2. A line perpendicular p to y=3/5x+4 is?
3. Consider the two equations: y=1/7x-9 and y=-7x-9. The lines represented by these equations are perpendicular.
4. What best describes the relationship between the lines with equations y=-9x+10 and y=9x+1/10
5. What best describes the relationship between the lines with equations y=8=-x and y=x=-8?
6. What best describes the relationship between the lines with equations y+4x=12 and 2y=-8x+4?
7. What best describes the relationship between the lines with equations -x-7y=7 and -14x+2y=0?
8. Line b has a slope of 4. Line c is parallel to line b. What is the slope of line c?
9. Line x has a slope of -1/6. Line y is perpendicular to line x. What is the slope of line y?
10. Line g has an equation of y=-1/4x+7. Line w, which is parallel to line g, includes the point (8, 3). What is the equation of line w?
1. A line parallel to y=-7x+5 would have the same slope of -7 but a different y-intercept.
2. A line perpendicular to y=3/5x+4 would have a slope that is the negative reciprocal of 3/5, which is -5/3.
3. The lines represented by y=1/7x-9 and y=-7x-9 are not perpendicular. They have the same slope of -7 and are parallel to each other.
4. The lines with equations y=-9x+10 and y=9x+1/10 are not perpendicular. They have the same slope of 9 but different y-intercepts.
5. The lines with equations y=8=-x and y=x=-8 are not valid equations. They have multiple equal signs, indicating a mistake in writing the equations.
6. The lines with equations y+4x=12 and 2y=-8x+4 are parallel lines. They have the same slope of -4/1.
7. The lines with equations -x-7y=7 and -14x+2y=0 are neither parallel nor perpendicular. They have different slopes and are not multiples of each other.
8. Line c, which is parallel to line b with a slope of 4, has the same slope of 4.
9. Line y, which is perpendicular to line x with a slope of -1/6, has a slope that is the negative reciprocal of -1/6, which is 6/1 or simply 6.
10. Line w, which is parallel to line g with an equation of y=-1/4x+7, would also have a slope of -1/4. Using the point-slope form of the line equation, the equation of line w can be written as y-3=-1/4(x-8), which simplifies to y=-1/4x+5.