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
#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 |
Watch the Step by Step Video Solution View the Written Solution
#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
Watch the Step by Step Video Solution View the Written Solution
#3:
Instructions: Graph each line.
a) y = -2x + 4
| b) | y | = | 4x | + | 1 |
| 5 |
Watch the Step by Step Video Solution View the Written Solution
#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)
Watch the Step by Step Video Solution View the Written Solution
#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 |
Watch the Step by Step Video Solution View the Written Solution
Written Solutions:
#1:
Solutions:
a)
| y | = | -2x | - | 2 |
| 5 |
b)
| y | = | 3x | + | 1 |
| 4 |
Watch the Step by Step Video Solution
#2:
Solutions:
a)
| y | = | -5x | + | 3 |
| 4 |
b)
y = -6x + 5
Watch the Step by Step Video Solution
#3:
Solutions:
a) y = -2x + 4
| b) | y | = | 4x | + | 1 |
| 5 |
Watch the Step by Step Video Solution
#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 |
Watch the Step by Step Video Solution
#5:
Solutions:
a) 7x + 3y = 3
b) x - 5y = -15
c) 9x + 5y = 30
