Writing Equations of Lines

Slope-intercept

100

Write the eq of the line with slope 8 and y-intercept 5.

y = 8x + 5

200

Write the eq of the line with slope 2 and passing through (0,7)

y = 2x + 7

300

Passing through (9,1) and (0,3)

y = -2/9x + 3

400

slope = 5 passing through (7,-1)

y = 5x - 36

500

slope = -2 passing through (1,-5)

y = -2x -3

Point-slope

100

m = 8 passing through (3,4)

y - 4 = 8(x - 3)

200

m = -2 passing through (-4,5)

y - 5 = -2(x + 4)

300

Point in y - 7 = 4(x - 6)

(6,7)

400

Slope in y - 8 = -5(x + 3)

m = -5

500

Passing through (-8,2) and (-9, 5).   Use the first point when writing the equation.

y - 2 = -3(x + 8)

Standard

100

y - 2 = 3x + 5

3x - y = -7

200

y = -9x + 7

9x + y = 7

300

y - 2 = 3/5(x + 1)

3x - 5y = -13

400

y = 1/3x + 4

x - 3y = -12

500

m = 4 passing through (0,3)

4x - y = -3

Slope

100

(9,3) (10, -7)

m = -10

200

y = 4x + 5

m = 4

300

y - 5 = 3(x + 6)

m = 3

400

5x + 7y = 21

m = -5/7

500

(8,4) (8, 7)

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Mixture

100

m = -9 (-2,1)

Point-slope form

y - 1 = -9(x + 2)

200

m = 7  (0,4)

Slope-intercept

y = 7x + 4

300

m = 4  (3,1)

Standard form

4x - y = 12

400

(2,1) (3, 5)

Slope-intercept

y = 4x - 7

500

(8,2) (9, 10)

Standard form

8x - y = 62