### About Point Slope Form:

When we work with linear equations in two variables, it is sometimes useful to algebraically manipulate the equation
into different forms. Here we will test our ability to move between slope-intercept form: y = mx + b, point-slope form: y - y_{1} =
m (x - x_{1}), and standard form: ax + by = c.

Test Objectives

- Demonstrate the ability to write an equation in slope-intercept form
- Demonstrate the ability to write an equation in point-slope form
- Demonstrate the ability to write an equation in standard form

#1:

Instructions: Write the slope-intercept form of the equation of each line.

a) m = -1, y-intercept: (0,-3)

b) m = 3, y-intercept: (0,5)

c) m = -4/3, y-intercept: (0,4)

Watch the Step by Step Video Solution View the Written Solution

#2:

Instructions: Write the slope-intercept form of the equation of each line.

a) m = -1, through (0,2)

b) m = -3/7, through (-3,5)

Watch the Step by Step Video Solution View the Written Solution

#3:

Instructions: Write the slope-intercept form of the equation of each line.

a) through (5,-4) and (0,1)

b) through (2,-1) and (-5,3)

Watch the Step by Step Video Solution View the Written Solution

#4:

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

a) m = -7/2, y-intercept: (0,-3)

b) m = 1/5, y-intercept: (0,-4)

Watch the Step by Step Video Solution View the Written Solution

#5:

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

a) through (-1,2) and parallel to: $$y = -2x - 2$$

b) through (-4,-1) and perpendicular to: $$y = -\frac{2}{3}x - 2$$

Watch the Step by Step Video Solution View the Written Solution

Written Solutions:

#1:

Solutions:

a) $$y = -x - 3$$

b) $$y = -\frac{4}{3}x + 4$$

Watch the Step by Step Video Solution

#2:

Solutions:

a) $$y = -x + 2$$

b) $$y = -\frac{3}{7}x + \frac{26}{7}$$

Watch the Step by Step Video Solution

#3:

Solutions:

a) $$y = -x + 1$$

b) $$y = -\frac{4}{7}x + \frac{1}{7}$$

Watch the Step by Step Video Solution

#4:

Solutions:

a) $$7x + 2y = -6$$

b) $$x - 5y = 20$$

Watch the Step by Step Video Solution

#5:

Solutions:

a) $$2x + y = 0$$

b) $$3x - 2y = -10$$