1. 5.3 Standard Form
Objective: SWBAT find x- and y-intercepts and graph lines in standard form.

2. Mini Quiz 42 Find the slope and y-intercept of
Write an equation of a line with a slope
m = 4 and y-intercept b =
Determine whether the ordered pair (2, -7) lies on the graph y = -3x – 1

3. Quick Review What is the Slope Formula?
What is the Slope-Intercept Form?
y = mx + b
How do you check if a point is on the line?
Plug it in! If it’s =, it’s on the line
How do you find rate of change?
Take the independent “over” the dependent

4. Overview Learn about the standard form
Finding x- and y- intercepts with standard form
Graphing Lines Using Intercepts
Graphing Horizontal and Vertical Lines
Transforming to Standard Form
So far, we have learned slope-intercept
form…
y = mx + b

5. Standard Form Ax + By = C A, B, and C are integers Examples:
2x + 5y = 6
x – 3y = -7

6. x- and y-intercepts
How do you write the ordered pair of any point on the x-axis?
(x, 0)
How do you write the ordered pair of any point on the y-axis?
(0, y)

7. Find the x- and y-intercepts
1. 2x + 6y = 36
How do you write the ordered pair for a point on the x-axis?
(x, 0) – replace the “0” for y
2x + 6(0) = 36
2x = 36
x = 18 (18, 0)
How do you write the ordered pair for a point on the y-axis?
(0, y) – replace the “0” for x
2(0) + 6y = 36
6y = 36
y = 6 (0, 6)

8. Find the x- and y-intercepts
2. -3x + 2y = -12
How do you write the ordered pair for a point on the x-axis?
(x, 0) -replace the “0” for y
-3x + 2(0) = -12
-3x = -12
x = 4 (4, 0)
How do you write the ordered pair for a point on the y-axis?
(0, y) – replace the “0” for x
-3(0) + 2y = -12
2y = -12
y = -6 (0, -6)

9. Find the x- and y-intercepts
3. -2x – 3y = -8
How do you write the ordered pair for a point on the x-axis?
(x, 0)
-2x – 3(0) = -8
-2x = -8
x = 4 (4, 0)
How do you write the ordered pair for a point on the y-axis?
(0, y)
-2(0) – 3y = -8
-3y = -8
y = 8/3 (0, 8/3)

10. Find the x- and y-intercepts
4. 8x – 3y = 17
How do you write the ordered pair for a point on the x-axis?
(x, 0)
8x – 3(0) = 17
8x = 17
x = 17/8 (17/8, 0)
How do you write the ordered pair for a point on the y-axis?
(0, y)
8(0) – 3y = 17
-3y = 17
y = -17/3 (0, -17/3)

11. Graph by using the x- and y-intercepts
5. 3x + 4y = 24
How do you write the ordered pair for a point on the x-axis?
(x, 0)
3x = 24
x = 8
(8, 0)
How do you write the ordered pair for a point on the y-axis?
(0, y)
4y = 24
y = 6
(0, 6)

12. Graph by using the x- and y-intercepts
6. -3x – 2y = -6
How do you write the ordered pair for a point on the x-axis?
(x, 0)
-3x = -6
x = 2
(2, 0)
How do you write the ordered pair for a point on the y-axis?
(0, y)
-2y = -6
y = 3
(0, 3)

13. Graph by using the x- and y-intercepts
7. -2x + 3y = -18
How do you write the ordered pair for a point on the x-axis?
(x, 0)
-2x = -18
x = 9
(9, 0)
How do you write the ordered pair for a point on the y-axis?
(0, y)
3y = -18
y = -6
(0, -6)

14. Graph by using the x- and y-intercepts
8. x + 4y = -8
How do you write the ordered pair for a point on the x-axis?
(x, 0)
x = -8
(-8, 0)
How do you write the ordered pair for a point on the y-axis?
(0, y)
4y = -8
y = -2
(0, -2)

15. Graphing Horizontal and Vertical Lines
10. y = -4
12. y = 2
x = 3
11. x = -4

16. Change to Standard Form
Write in standard form
-3x + 4y = 8
14. Write in standard form
2x + 5y = 5

17. Wrap Up Standard Form Finding and Graphing x- and y-intercepts
Ax + By = C
Finding and Graphing x- and y-intercepts
Horizontal and Vertical Lines
Change to Standard
HW: P #1-61 EOO,
69 – 77 odd
DLUQ: How do you find the x- and y-intercepts