Writing and Graphing Linear Equations

Slope

100

(1,3) (-2,-6)

m=3

200

(0,5) (6,2)

m= -1/2

300

(8,-3) (-2,-3)

m=0

400

Identify the slope:

y-7=-5/3(x+3)

m=-5/3

500

Identify the slope:

-2x+3y=6

m= 2

Slope Intercept Form

100

Write the slope-intercept form equation of the line with a slope of -1/3 and a y-intercept of -3.

y = -1/3x - 3

200

The coefficient of x always provides the ______ of the line.

slope

300

Change the equation y=-3x +5 so that the y-intercept is -6.

y = -3x - 6

400

Write the slope-intercept form equation of the line that passes through (8, -1) and has a slope of 0.

y = -1

500

Write the slope-intercept form equation of the line that passes through (-2,1) and (3,4).

y = 3/5x + 2.2

Point Slope Form

100

Write the point-slope form equation of the line that passes through (4,6) and has a slope of 5.

y - 6 = 5(x - 4)

200

Write the point-slope form equation of the line that passes through the point (4, -2) and has a slope of -1/3.

y + 2 = -1/3(x - 4)

300

Write the point-slope form equation of the line that passes through the points (5,0) and (4,5).

y - 0 = -5(x - 5)

or

y - 5 = -5(x - 4)

400

Convert y + 6 = 1/3(x - 9) to slope intercept form.

y = 1/3x - 9

500

Convert y - 1 = 2(x + 1) to slope-intercept form.

y = 2x + 3

Standard Form

100

Convert the equation to slope-intercept form: 6x + 2y = 14

y = -3x + 7

200

Convert the equation to standard fo: y = -1/2 x + 3

x + 2y = 6

300

Convert the equation to standard form: y = -2x - 5

2x + y = -5

400

If you were to graph the equation 3x + 2y = 6, where does the line cross the x-axis?

(2, 0)

500

If you were to graph the equation 5x - 4y = -40, where does the graph cross the y-axis?

(0, 10)