This geometry document covers writing equations of lines in slope-intercept form. It reviews the concepts of slope and y-intercept and teaches that an equation of a line needs a slope and y-intercept. Examples are given of writing equations given these components. The document also addresses writing equations of lines parallel or perpendicular to given lines and passing through given points. Students are provided practice problems to write equations of lines in different scenarios.

1. GEOMETRY
MILBY HIGH SCHOOL
MR. SAUCEDO
3.5 Write and Graph
Equations of Lines

2. OBJECTIVE
We will learn how to write
equations of a line.

3. REVIEW
X-INTERCEPT & Y-INTERCEPT

4. SLOPE – INTERCEPT FORM

5. WRITING AN EQUATION
WE NEED 2 THINGS IN ORDER TO WRITE AN
EQUATION IN SLOPE-INTERCEPT FORM.
y = mx + b
Slope (m)
&
y-intercept (b).

6. OBSERVE
Write the equation of a line with slope 3 and y-
intercept 6.
m=3
b=6.
Plug in m, and b, into the equation: y=mx+b
y=3x+6

7. CHECKPOINT
Write an equation for the line that has a slope of -3
and a y-intercept of ½.
m=-3
b= ½
Plug them in to the formula y=mx+b
y=-3x + ½

8. GUIDED PROBLEM 1
Write an equation of the line in slope-intercept form.

9. CHECKPOINT
Find the equation of the line in slope-intercept form.

10. GUIDED PROBLEM 2
Write an equation of the line passing through the
piont (-1,1) that is parallel with the equation y=-2x-3.

11. CHECK POINT
Write an equation of the line passing through the
point (2, -3) that is parallel to the line with the
equation y=6x+4.

12. GUIDED PROBLEM 3
Write an equation of the line passing through the
point (2, 3) that is perpendicular to the line with the
equation y=-2x+2

13. CHECK POINT
Write an equation of the line passing through the
piont (3,-4) that is perpendicular to the line with the
equation y= (-½)x - 1

14. What if we get an equation in standard form?
Graph 3x + 4y = 12

15. CLOSING QUESTIONS
What is the formula (or equation) for a line in slope-
intercept form?
What steps do we take to write an equation of a line
if we are given a graph of a line?
What steps do we take to write an equation of a line
if we are given a slope and a point on the line?

16. INDEPENDENT PRACTICE
ENTER THE FOLLOWING PROBLEMS FROM THE BOOK,
PAGE 184.
1. Problem 6,
2. Problem8,
3. Problem 9,
4. Problem 10,
5. Problem 12,
6. Problem 14,
7. Problem 18,
8. Problem 28,
9. Problem 30,
10.Problem 50.

17. HOMEWORK
WORKBOOK, SECTION 3-5
Pages 55-57
PROBLEMS: 1, 5, 7, 9, 11, 14, 17,
#25 on separate sheet of paper.