Equations of Parallel and Perpendicular Lines

y = -3x + 4

Write the equation of a linethrough (3, -5) parallel to y=-3x + 5, in slope-intercept form.

y+2 = -1/4( x +1)

Write the equation of a line through (-1, -2) perpendicular to y-0 = 4(x-0), in point-slope form.

y+3 = -7/3(x+1)

Write the equation of a line through (-1, -3) parallel to 7x + 3y = 15, in point-slope form.

x - y = 2

Write the equation of a line through (-1, -3) parallel to y = x - 1, in standard form.

y =5/2x + 3

Write the equation of a line through (-2, -2) parallel to y = 5/2x - 4, in slope intercept form.

y =6x + 8

Write the equation of a line through (-2, -4) perpendicular to y =-1/6x +0, in slope intercept form.

y = 7/2 x + 2

Write the equation of a line through (-2, -5) perpendicular to y = -2/7 x + 5, in slope-intercept form.

y-2 = 3/8 (x + 3)

Write the equation of a line through (-3, 2) perpendicular to y = -8/3 x + 4, in point-slope form.

y =-3/5x -4

Write the equation of a line through (-5, -1) parallel to y = -3/5 x + 5, in slope intercept form.

y = 0

Write the equation of a line through (-5, 0) perpendicular to x = 0.

y = 3/4 x + 2

Write the equation of a line through (0, 2) perpendicular to 4x+ 3y = 15, slope-intercept form.

y-1 = -3(x -2)

Write the equation of a line through (2, 1) perpendicular to y = 1/3 x - 3, in point-slope form.

y = 3

Write the equation of a line through (4, 3) parallel to the x- axis.

y+4 = 3/4( x - 1)

Write the equation of a line through (1, -4) and parallel to y-3 = 3/4 (x - 2) , in point- slope form.

y =5x - 1

Write the equation of a line through (1, 4) perpendicular to y = -1/5x - 1, in slope intercept form.

y =10x - 5

Write the equation of a line through (1, 5) perpendicular to y =-1/10x - 3, in slope intercept form.

x = 4

Write the equation of a line through (4, 3) parallel to the y- axis.

y = -5/2 x + 4

Write the equation of a line through (2, -1) parallel to y = -5/2 x - 4, in slope-intercept form.

y = -2x + 2

Write the equation of a line through (2, -2) perpendicular to y = 1/2 x + 5

y = -1/2x - 2

Write the equation of a line through (2, -3) parallel to x + 2y = 2, in slope-intercept form.