3.2 Different Forms of a
Linear Equation
Objective: Students will be Able to Write the Equation of a line given
certain parameters
Warm Up
1. Write the equation of the line with gradient (slope)
intercept (0,4)
−2
3
and y
2. Write the equation of the line with gradient of -1 and passes
through (-3,2).
3.
Change the general form of the line 3x + y -5 = 0 into slope
intercept form.
Review of Previous Homework
Take a look at the previous homework and ask any relevevant questions
that are still lingering.
Three Ways to Write the Equation of a Line:
Gradient (slope) Intercept Form :
y = mx + b , m is the slope and b is the y intercept
Point-Gradient Form
𝑦 − 𝑦1 = 𝑚 𝑥 − 𝑥1 ,
m is the gradient and the line passes through the point 𝑥1 , 𝑦1
General Form
Ax + By + D = 0 where A, B and D are Integers
Example 1
• Find the Equation of the line (in Gradient Intercept Form) that passes
through the points (-1, 2) and ( 3, -4)
Example 2
• Find the equation of the line in point- gradient form of the line that
1
passes through (-4, 5) and is parallel to the equation y = 𝑥 − 3
2
Writing Linear Equations Worksheet
• Do the worksheet presented in google classroom today. Upload your
work when completed.