Lines

Solve the system of equations for the point of intersection: x+y=15 x-y=3

(9,6)

If the line through the point (5,-3) and (-2,p) is parallel to the line y=-2x-3, what is the value of p?

11

Line A is perpendicular to y=2x+1 and passes through the point (0,1). Find the x-intercept of line A.

2

Two lines are described by the equations y=3x+5, and 5y-25=15x. What is the most rigorous statement you can make about these two lines?

They represent the same lines.

What is the slope of a line perpendicular to the line 2x+3y=16?

m=3/2

If line J passes through the points (!,3) and (2,4) and line K passes through (0,x) and (10,3), what would the value of x be in order for lines J, K to be parallel?

x=-7

What is equation for the line parallel to 2x+5y=6 that goes through (5,3)?

y=-2/5x+5

Find the equation of the line perpendicular to x/2+3=y that passes through (5,6)

y=-2x+16

What line is parallel to 3x+2y=6 that passes through the point (2,-1)

y=-3/2x+2

What is the equation for a line parallel to 3x+4y=12 that passes through the point (1,2)?

y=-3/4x+11/4

What is the equation of a line that is parallel to 3x+5y-8 that passes through (10,4)?

y=-3/5x+10

The endpoints of line segment AB are located at (5,-2) and (-3,10). What is the equation of the line that is the perpendicular bisector of AB?

y=2/3x+10/3

What line is parallel to y=2x-1 through (1,-3)?

y=2x-5

What is the equation of the line perpendicular to the line 2x+3y=6 that passes through (4,1)

y=3/2x-5

What is the equation, in slope-intercept form, of a line that is parallel to the line 4x-y=22 and passes through the origin?

y=4x

Consider line C to be y=-4x-7. Which is the reflection of line C across the x-axis

y=4x+7