Here are the steps to find the x and y intercepts of the given equations: 1. 3x + 5y = 30 X-intercept: Put 0 in for y. 3x + 5(0) = 30. 3x = 30. x = 10 Y-intercept: Put 0 in for x. 3(0) + 5y = 30. 5y = 30. y = 6 2. 4x + 2y = 12 X-intercept: Put 0 in for y. 4x + 2(0) = 12. 4x = 12. x = 3 Y-intercept: Put 0 in for x. 4(0) + 2y = 12. 2y

1. x and y intercepts

2. POD 31 Jan
Aaron enters an ultra-marathon race of 60 Km. His average walking speed
is 5 Km/h, and his average running speed is 10 Km/h.
Let x = Number of hours he walks
Let y = Number of hours he runs
1. Standard form equation: ____________________________
2. Slope-intercept form equation: _______________________
3. How long will it take Aaron to complete the race if he walks the entire
60 Km?
4. How long will it take if he runs the entire 60 Km?
5. If he walks for 6 hours, how long will he have to run?

3. Standard form
 The standard form of an equation is:
 Ax +By = C
A and B are not zero.
• How can you graph a line without putting the
equation in slope-intercept form?
• What do we know about intercepts?

4. Standard Form
 An intercept is where your line crosses
one or both of your axis.
 The y-intercept is the value of the y-
coordinate of the point that intercepts the
y-axis.
 If this is the definition of the y-intercept
how would you define the x-intercept?

5. Intercepts

6. Standard Form
 Let’s try it out. Take a deep breath because this
is going to be easy!
 Simply place 0 in for y to find the x-intercept or
place 0 in for x to find the y-intercept.
 Ex: 3x + 2y = 6
3(0) + 2y = 6
2y = 6
y = 3 Your y-intercept is (0,3)

7. x and y Intercepts
 3x + 5y = 150
3(0) + 5y = 150 100
5y = 150
y = 30 50
 3x + 5y = 150 100
3x + 5(0) = 150
3x = 150
x = 50

8. x and y intercepts
 Find the x and y intercepts of the following equations,
then graph.
1. 3x + 5y = 30
2. 4x + 2y = 12
3. -6x + 18y = 36
4. -5x + 4y = 20
5. 28 = -7x + 7y
6. 50x + 100y = 200