1. 2.4 MORE ABOUT LINEAR
EQUATIONS

2. SLOPE AND LINES

3. POINT – SLOPE FORM

4. EXAMPLE: WRITING AN
EQUATION GIVEN A POINT
AND THE SLOPE
3
 A line passes through ( −5, 2 ) with slope
5
What is an equation of the line?

5. EXAMPLE: WRITING AN
EQUATION GIVEN A POINT
AND THE SLOPE
 A line passes through ( 7, −1) with slope −3
What is an equation of the line?

6. WRITING AN EQUATION
GIVEN TWO POINTS
y2 − y1
1. Find the slope m=
x2 − x1
2. Substitute the slope and one point into the
point-slope form
y − y1 = m ( x − x1 )

7. EXAMPLE
 A line passes through (3, 2) and (5, 8). What is an
equation of the line in point-slope form?

8. EXAMPLE
 A line passes through (- 5, 0) and (0, 7). What is
an equation of the line in point-slope form?

9. STANDARD FORM

10. WRITING AN EQUATION IN
STANDARD FORM WITH
INTEGER COEFFICIENTS

11. EXAMPLE: WRITE THE
EQUATION IN STANDARD FORM.
USE INTEGER COEFFICIENTS.
3
y = x −5
4

13. GRAPHING AN EQUATION
The quickest way to graph a line is to:
1. Find the x – intercept by setting y = 0
2. Find the y – intercept by setting x = 0
3. Plot the intercepts
4. Draw the line

14. EXAMPLE: WHAT ARE THE
INTERCEPTS OF THE
EQUATION? GRAPH THE
EQUATION.
3 x + 5 y = 15

15. PARALLEL AND
PERPENDICULAR LINES

16. WRITING EQUATIONS OF
PARALLEL AND
PERPENDICULAR LINES
1. Find the appropriate slope
2. Use the given point and point – slope form to
write the equation of the line

17. EXAMPLE: WRITE THE
EQUATION OF THE LINE IN
SLOPE – INTERCEPT FORM.
The line parallel to y = 6 x − 2
and through ( 1, −3)

18. EXAMPLE: WRITE THE
EQUATION OF THE LINE IN
SLOPE – INTERCEPT FORM.
2
The line perpendicular to y = −4 x +
3
and through ( 8,5 )

19. EXAMPLE: WRITE THE
EQUATION OF THE LINE IN
SLOPE – INTERCEPT FORM.
The line parallel to 4 x + 2 y = 7
and through ( 4, −2 )

20. EXAMPLE: WRITE THE
EQUATION OF THE LINE IN
SLOPE – INTERCEPT FORM.
2
The line perpendicular to y = x − 1
3
and through ( 0,6 )

21. HOMEWORK
 Page 86
 #6 – 8 all, 11 – 29 odd, 32 – 35 all, 42 – 44 all