About Slope Intercept Form:

Although we see point-slope and standard form, an equation is usually written in slope-intercept form: y = mx + b. This form allows us to quickly identify the slope (m) and y-intercept (0,b) from looking at the equation. We can manipulate the equation into this format, by solving for y.


Test Objectives
  • Demonstrate the ability to write the equation of a line in standard form
  • Demonstrate the ability to write the equation of a line in slope-intercept form
  • Demonstrate the ability to write the equation of a line in point-slope form
Slope Intercept Form Practice Test:

#1:

Instructions: Write the slope-intercept form of the equation of each line, given the slope and y-intercept.

a) y-intercept = -2

slope  =   -  2
5

b) y-intercept = 1

slope  =  3
4

#2:

Instructions: Write the slope-intercept form of the equation of each line, given the slope and y-intercept.

a) y-intercept = 3

slope  =   -  5
4

b) y-intercept = 5

slope = -6


#3:

Instructions: Graph each line.

a) y = -2x + 4

b) y  =  4x  +  1
 5

#4:

Instructions: Write each equation using point-slope form, then solve for y and place the equation in slope-intercept form.

a) through (-5,3) : slope = 2

b) through (-1,2) : slope = -3

c) through (0,-5) and (5,2)


#5:

Instructions: Write the standard form of the equation of the line.

a)

y  =  -7x  +  1
  3

b)

y  =  1x  +  3
 5

c)

y  =  -9x  +  6
  5

Written Solutions:

#1:

Solutions:

a)

y  =  -2x  -  2
  5

b)

y  =  3x  +  1
 4

#2:

Solutions:

a)

y  =  -5x  +  3
  4

b)

y = -6x + 5


#3:

Solutions:

a) y = -2x + 4

y=-2x+4
b) y  =  4x  +  1
 5
y=(4/5)x+1

#4:

Solutions:

a)

point-slope form: y - 3 = 2(x - (-5)) slope-intercept form: y = 2x + 13

b)

point-slope form: y - 2 = -3(x - (-1)) slope-intercept form: y = -3x - 1

c)

point-slope form: y - 2 =  7  (x - 5)
5
slope - intercept form: y =   7x  -  5
 5

#5:

Solutions:

a) 7x + 3y = 3

b) x - 5y = -15

c) 9x + 5y = 30