Finding the Equation of a Line

1. Finding the Equation of a Line Critical Thinking Skill: Explicitly assess information and draw conclusions

2. Three Ways to Write a Linear Equation: 1. Standard Form 2). Slope-Intercept Form 3). Point-Slope Form

3. Writing Equations in Slope Intercept form Review: Slope intercept form: y= mx + b  m= slope b = y-intercept 1.) Write the equation of the line that has 
a slope of -2 and a y-intercept of 5. 2.) Write the equation of the line shown in 
the graph below (2,0) (0,-4)

4. A: Given slope (m) and a point (x,y) Write the equation of the line that passes through the 
point (6,-3) and has a slope of -2. Step 1: Substitute the slope, m and the coordinates of the given point (x,y) into the slope-intercept form. y= mx + b Step 2: Solve for b Step 3: Substitute the slope and y-intercept back into the 
slope intercept form

5. Write the equation of the line that passes through the given 
point and has the given slope. 1: m = 8 ( 3, 4) 2: m = 5 ( 4, 2)

6. B: Given two points Steps: 1). Find m (use the 
slope formula) 1). y = mx + b 2). plug in m, and either point to find b. 3). Re-write the 
equation with m and 
b plugged in. ex 1: ( 5, 3) ( 3, 4)

7. ex 2: ( 8, 2) ( 2, 6) 3.) (2,-2) and (6,0)