Writing Linear Equations Test Review

Writing Equations

100

Write an equation of a line with a slope of 1/2 and a y-intercept of 5.

y = 1/2 x +5

200

Rewrite the equation in slope-intercept form.

3x - 2y = 8

y = 3/2 x -4

300

Rewrite the equation in standard form

y = 3/4 x - 1

3x - 4y = 4

400

Write the equation of the line that goes through the points (5, 5) and (-5, 7).

y = -1/5 x + 6

500

Write the equation of the line that goes through the points (3, 4) and (-4, -3)

y = x + 1

Writing Equations

100

Write an equation of a line with a slope of 6 and a y-intercept of 0.

y = 6x

200

Rewrite the equation in slope-intercept form.

4x - y = -18

y = 4x + 18

300

Rewrite the equation in standard form.

y = x - 4

x - y = 4

400

Write the equation of the line that goes through the points (-3, 5) and (-3, 8).

x = -3

500

Write the equation of the line that goes through the points (-2, 7) and (1, -8).

y = -5x - 3

Line of Best Fit

100

Write the equation of the line of best fit.

x      1         2         3          4            5

y      1         2        1.3      3.75       2.25

y= .425x + .785

200

Write the equation of the line of best fit for the points (9, 260), (13, 320), (21, 420), (30, 530)

Your answer must be correctly rounded to the thousandths place.

y = 12.744x + 149.923

300

Write an equation for a line of best fit.

x        y

3        20

8        53

9        43

11      60

Your answer must be correctly rounded to the thousandths place.

y = 4.806x + 6.755

400

Write the equation for the line of best fit. Then determine the value for y when x = 3.

x       y

-1      5

0       -2

4       -8

-6.239

500

Write the equation for a line of best fit. Then determine the value of y when x = 70.

x          y

40       8

30       12

25        9.5

4.347

Parallel/Perpendicular

100

What is the slope of a line parallel to y = 4/3 x + 5?

4/3

200

What is the slope of a line perpendicular to the line 5x - 6y = 24

-6/5

300

Write an equation of a line parallel to the line y = x - 1 that goes through the point (-5, 1).

y = x + 6

400

Write an equation of a line parallel to the line x + 2y = 4 and goes through the point (8, 4).

y= -1/2 x + 8

500

Write an equation perpendicular to the line 5x + 3y = 18 and goes through the point (5, 5).

y = 3/5 x + 2

Direct/Inverse Variation

100

Do the following points represent direct variation, inverse variation, or neither?

(3, 12), (-4, -16), (7, 28), (12, 48)

Direct

200

Do the following points represent direct variation, inverse variation, or neither?

(2, -5), (-20, 0.5), (10, -1), (1, -10)

Inverse

300

Is the following equation direct variation, inverse variation, or neither?

2x - y = 8

Neither

400

Is the following equation direct variation, inverse variation, or neither?

x/3 = y

direct

500

Is the following equation direct variation, inverse variation, or neither?

-4/y = x

Inverse