Linear Equations Graphically
Standard to Slope & Slope to Standard
Linear Equations from Slope and a Point
Linear Equations from Two Points
100

Graph the following equation. 

3x+5y=5

100

Write in standard form.

y=3x-4

3x-y=4

100

Write the equation of a line in slope intercept form that goes through 

(-1,-2) 

and has slope of 

1

y=x-1

100

Write the equation of a line in slope intercept form that passes through 

(0,-3) & (-4,-4)

y=1/4x-3

200

From the graph, write the equation in standard form. 

x-y=0

200

Write in slope intercept form.

6x+y=1

y=-6x+1

200

Write the equation of a line in slope intercept form that goes through 

(5,-5) 

and has slope of 

-1

y=-x

200

Write the equation of a line in slope intercept form that passes through 

(1,0) & (-1,3)

y=-3/2x+3/2

300

Sketch the graph of the following equation. 

x+y=-3

300

Write in slope intercept form.

3x+2y=-4

y=-3/2x-2

300

Write the equation of a line in slope intercept form that goes through 

(3,-2) 

and has slope of 

2/3

y=2/3x-4

300

Write the equation of a line in slope intercept form that passes through 

(1,5) & (2,3)

y=-2x+7

400

Write the equation of the line in standard form and slope intercept form. 

  Slope Intercept Form = 

y=3x-4

Standard Form = 

3x-y=4

400

Write in slope intercept form. 

y-3=0

y=3

400

Write the equation of a line in slope intercept form that goes through 

(-5,-1) 

and has slope of 

6/5

y=6/5x+5

400

Write the equation of a line in slope intercept form and standard form that passes through 

(-5,0) & (3,3)

Slope Intercept 

y=3/8x+15/8


Standard Form

3x-8y=-15

500

Write the equation of the line in standard and slope intercept form. 

Slope Intercept Form = 

y=2/3x-2

Standard Form = 

2x-3y=6

500

Write in standard form.

y=4/3x-1

4x-3y=3

500

Write the equation of a line in slope intercept form that goes through 

(-3,-4) 

and has slope of 

7/2

y=7/2x+13/2

500

Write the equation of a line in slope intercept form and standard form that passes through 

(4,0) & (-1,-3)

Slope Intercept Form

y=3/5x-12/5

Standard Form

3x-5y=12

M
e
n
u