Linear Equations Review

Arithmetic Sequences

Point Slope Form

Parallel Lines

Perpendicular Lines

Convert to Slope Intercept Form

100

Determine if the sequence is arithmetic: 35, 32, 29, 26, ...

If it is, find the common difference.

Yes, the common difference is -3.

100

Find a Point-Slope equation for a line containing the point (4,-3) and having the slope m=-1.

y+3=-1(x-4)

100

What is the slope of a line parallel to y=-5x+2?

m=-5

100

Write the slope-intercept form of the equation of the line through (1,-5) perpendicular to y=1/8x+2

y=-8x+3

100

Write the slope intercept form of the line: 3x+4y=8

y=-3/4x+2

200

Given the arithmetic sequence, find a₃₄: a_n=7n-11

a₃₄=227

200

Write an equation in slope intercept form given the point (-5,-6) and the slope m=2.

y=2x+4

200

Write the slope-intercept form of the equation of the line through (2,2) parallel to y=x+4

y=x

200

Write the slope-intercept form of the equation of the line through (4,-1) perpendicular to y=x+2

y=-x+3

200

Write the slope intercept form of the line: 11x+y=-5

y=-11x-5

300

Write the arithmetic sequence for the following pattern: −34, −64, −94, −124, ...

a_n=-30n-4

300

Write the point slope form of an equation given the points (0,8) and (-1,10)

y-8=-2(x-0) OR y-10=-2(x+1)

300

Write the slope-intercept form of the equation of the line through (2,-4) parallel to y=3x+2

y=3x-10

300

Write the slope-intercept form of the equation of the line through (-5,5) perpendicular to y=5/9x-4

y=-9/5x-4

300

Write the slope intercept form of the line: 10x+3y=2

y=-10/3x+2/3

400

Find the arithmetic sequence and a₃₄: −4, 3, 10, 17, 24,...

a_n=7n-11

400

Write the slope intercept form of the equation given the points (-1, 7), (8,-2).

y=-x+6

400

Write the slope-intercept form of the equation of the line through (2,-1) parallel to y=-2/5x+3. Leave your answers as FRACTIONS.

y=-2/5x-1/5

400

Write the equation of a line through the point (4,4) and perpendicular to y=-6x+5. Leave your answer in fractions.

y=1/6x+10/3

500

Given a₃₈=-53.2 and the common difference in the pattern is -1.1, find the arithmetic sequence and a₅

arithmetic sequence: a_n=-1.1n-11.4

a₅=-16.9

500

Write the slope intercept form of the equation given the points (5, 7), (-1, 3).

y=2/3x+3

500

Write the slope-intercept form of the equation of the line through (4,3) parallel to x=0.

x=4

500

Write the equation of a line through the point (-5,5) and perpendicular to y=-3x+3. Leave your answer in fractions.

y=1/3x+20/3