Writing Linear Equations

point and slope

100

Write the equation in slope intercept form of the line that passes through (-1, 5) and has the slope of 2.

y=2x + 7

200

Write the equation in slope intercept form of the line that passes through (0, 0) and has the slope of 2/3.

y= 2/3x

300

Write the equation in slope intercept form of the line that passes through (16, 8) and has the slope of 3/4.

y = 3/4x - 4

400

Write the equation in slope intercept form of the line that passes through (-6, -7) and has the slope of 1/2.

y = 1/2x - 4

parallel

100

Write the equation in slope intercept form of the line that passes through (2, 5) and is parallel to the line y = -4x + 10.

y = -4x + 13

200

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

y = 1/2x - 7

300

Write the equation in slope intercept form of the line that passes through (2, 5) and is parallel to the line 2x + y = 4.

y = -2x + 9

400

Write the equation in slope intercept form of the line that passes through (-2, 4) and is parallel to the line 3x + y = -1.

y = -3x - 2

perpendicular

100

Write the equation in slope intercept form of the line that passes through (7, -10) and is perpendicular to the line y = 1/2x - 9.

y = -2x + 4

200

Write the equation in slope intercept form of the line that passes through (4, -4) and is perpendicular to the line y = -4x - 2.

y = 1/4x - 5

300

Write the equation in slope intercept form of the line that passes through (1, 2) and is perpendicular to the line -x + 2y = 2.

y = -2x + 4

400

Write the equation in slope intercept form of the line that passes through (5, 2) and is perpendicular to the line 5x + y = -3.

y = 1/5x + 1

two points

100

Write the equation in slope intercept form of the line that passes through the points (4, 4) and (5, -2).

y = -6x + 28

200

Write the equation in slope intercept form of the line that passes through the points (4, 5) and (2, 4).

y = 1/2x + 3

300

Write the equation in slope intercept form of the line that passes through the points (4, 7) and (8, 10).

y = 3/4x + 4

400

Write the equation in slope intercept form of the line that passes through the points (1, 10) and (-1, -2).

y = 6x + 4

miscellaneous

100

Write the equation in slope intercept form of the line that passes through the points (9, 1) and (9, 3).

x=9

200

Write the equation in slope intercept form of the line that passes through the points (5, 7) and (2, 7).

y=7

300

Rearrange the equation y - 6 = -10(x + 3) into slope-intercept form.

y = -10x - 24

400

Rearrange y = -3/4x + 2 into standard form.

3x + 4y = 8