Equations of Lines - Analytic Geometry Unit

A line contains the point (0, -2). If the slope of the line is M = -6, write the equation of the line using slope-intercept form. A. y = -6x - 2 B. y = -2x - 6 C. y = -1/6x - 2 D. y = 6x +2

A. y = -6x - 2

The figure shows several lines. AB contains the points A(-2, -1) and B(2, 5). RS contains the points R(-3, 1) and S(2, 4). UV contains the points U(-1, 5) and V(1, 1). Which equations, in point-slope form, represent lines AB and UV? A. AB: y -2 = 3/5(x - 4) UV: y - 1 = -2(x - 1) B. AB: y - 5 = 3/2(x - 2) UV: y - 1 = -2(x - 1) C. AB: y - 5 = 3/2(x - 2) UV: y - 2 = 3/5(x - 4) D. AB: y + 5 = 3/2 (x + 2) UV: y + 1 = -2(x + 1)

B. AB: y - 5 = 3/2(x - 2) UV: y - 1 = -2(x - 1)

The square PQRS has vertices P(-8, 4), Q(-5, 4), R(-5, 1), and S(-8, 1). A student determined that the equation of the line QS is y=-1x+9. Evaluate the student's response. A. The student calculated the equation correctly. B. The student calculated the y-intercept correctly but did not calculate the slope correctly. C. The student calculated the slope correctly but did not calculate the y-intercept correctly. D. The student calculated neither the slope nor y-intercept correctly.

B. The student calculated the y-intercept correctly but did not calculate the slope correctly.

Write the equation of the line that passes through the point (-6, 2) and is parallel to the line whose equation is x = -10, then write the equation of the line that passes through the point (-6, 2) and is perpendicular to the line whose equation is x = -10. A. x=-6, y=-6 B. x=-6, y=2 C. x=2, y=2 D. x=10, y=2

B. x=-6, y=2

Write the equation of the line that is parallel to the given segment and that passes through the point (-3, 0). A. y= -3x+9 B. y= -1/3x-1 C. y= 1/3x+1 D. y= 3x-1

B. y= -1/3x-1

Write the equation of the line that is perpendicular to the given segment and that passes through the point (-6, -3). A. y=-1/2x-3 B. y=-1/2x-6 C. y= 2x+9 D. y= 2x-6

B. y=-1/2x-6

A line contains the points (3, -2) and (-6, -8). Write the equation of the line using point-slope form. A. y - 8= 2/3(x - 6) B. y + 3= 2/3(x + 6) C. y + 2= 2.3(x + 8) D. y + 8= 2/3(x+6)

D. y + 8= 2/3(x+6)

Write the equation of the line that is parallel to the line whose equation is y = -4 and that passes through the point (1, 5). A. y =-5 B. y= -4 C. y = 1 D. y = 5

D. y = 5

The equation of a line is y = 3. Write an equation in slope-intercept form of a line parallel to y = 3 that passes through (0, 6). A. x = 3 B. x = 6 C. y = 3x D. y = 6

D. y = 6

Write the equation of the perpendicular bisector of RS. Point R is located at (-1, 3), and point S is located at (3, 1). A. y = -1/2x+2 B. y = -1/2x+3 C. y= 2x-5 D. y= 2x

D. y= 2x