This document discusses finding the equation of a line given different information. It covers: 1) Finding the slope (m=4/3) and y-intercept (b=-3) of the line 6x - 3y = 7 using the slope-intercept form of a line (y=mx+b). 2) Writing the equation of a line containing the point (1,2) with slope -1/2 using the point-slope form (y-y1=m(x-x1)). 3) Writing the equation of a line containing the points (-2,2) and (3,7) by finding the slope between the points and using the point-slope form

1. Find the slope and y-intercept of the line 6x – 3y = 7

2. slope-intercept equation y=mx+bWrite an equation of the line from the graph b = -3

3. m = 4/334

4. Let’s start with the slope formula…m

5. Let’s start with the slope formula…

6. Let’s start with the slope formula…

7. Let’s start with the slope formula…

8. Let’s start with the slope formula…

9. Let’s start with the slope formula…Point-Slope form

10. Write an equation of a line containing the point (1,2) with slope of –½ (x1,y1) = (1,2) m = - ½y – y1 = m(x – x1)y – 2 = - ½( x – 1)y – 2 = - ½ x + ½ +2 +2

11. Write an equation of the line containing the points (-2,2) and (3,7)Find the slope: m = 1(x1, y1) = (-2, 2)y – 2 = 1 ( x – (-2))y – 2 = x + 2y = x + 4 (3,7)(-2,2)

12. Write an equation of the line through (6, -5) that is perpendicular toWhat do we know?We know a point on our line: (6, -5)Do we know the slope of our line?NODo we know anything about the slope of our line?Our line is perpendicular to So its slope is the opposite reciprocal of ?

13. Write an equation of the line through (6, -5) that is perpendicular tousing point-slope:y – (-5) = (x – 6)y + 5 = x + y = x – m = 15m┴ =

14. The “Big 3” forms of linear equations