Geometry - Writing Linear Equations assignment

What is the equation of the line parallel to the given line with an x-intercept of 4?

4 -16

What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)?

4x - 5y = 5

What are the necessary criteria for a line to be perpendicular to the given line and have the same y-intercept?

The slope is -3/2 and contains the point (0, −2)

What is the equation of the line that is parallel to the given line and passes through the given point?

y = -4

A line segment has endpoints at (4, -6) and (0, 2). What is the slope of the given line segment? What is the midpoint of the given line segment? What is the slope of the perpendicular bisector of the given line segment? What is the equation, in slope-intercept form, of the perpendicular bisector?

1). Slope = (-2) 2). Midpoint = (2, -2) 3). Slope of the perpendicular bisector = (1/2) 4.) Y=(1/2)x-3

Which line is parallel to the line 8x + 2y = 12?

C

What is the slope of the line that is parallel to the given line and passes through the given point? What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point? What is the y-intercept of the line that is parallel to the given line and passes through the given point?

1. -1/4 2. y + 4 = -1/4(x + 2) 3. -9/2

Which points are on the perpendicular bisector of the given segment? Check all that apply.

−8, 19) (1, −8) (−5, 10)

Which lines are perpendicular to the line y - 1 = (x+2)? Check all that apply. y + 2 = -3(x - 4) y − 5 = 3(x + 11) y = -3x - 5/3 y = x - 2 3x + y = 7

y + 2 = -3(x - 4) y = -3x - 5/3 3x + y = 7

A geometry class is asked to find the equation of a line that is parallel to y - 3 = −(x + 1) and passes through (4, 2). Trish states that the parallel line is y - 2 = -1(x - 4). Demetri states that the parallel line is y = -x + 6. Are the students correct? Explain. Trish is the only student who is correct; the slope should be -1, and the line passes through (4, 2). Demetri is the only student who is correct; the slope should be -1, and the y-intercept is 6. Both students are correct; the slope should be -1, passing through (4, 2) with a y-intercept of 6. Neither student is correct; the slope of the parallel line should be 1.

Both students are correct; the slope should be -1, passing through (4, 2) with a y-intercept of 6.