3. Do Now
With your partner, please complete both sides of the handout. These will
be most of your notes for this section.
6. Standard Form of a Linear Equation
Ax + By = C
A,B, & C are all real numbers and A and B are not both zero
3x + 4y = 8
A = 3, B = 4 and C = 8
Useful for graphing.
Find the x and y intercepts.
What is the value of y at the x-intercept?
y = 0
What is the value of x at the y-intercept ?
x = 0
7. 8/3
x y
0
0
3x + 4y = 8
Solve for the x and y intercepts.
3x + 4y = 8
3x + 4(0) = 8
3x = 8
x = 8/3
3x + 4y = 8
3(0) + 4y = 8
y = 2
Substitute 0 for the x to find y intercept.
2
Substitue 0 for y to find the x intercept.
8. x y
0
0
2
8/3
(0,2) = y-intercept
(8/3, 0) - x-intercept
plot both points & draw your line
13. WHITEBOARD PRACTICE
What are the x and y-intercepts?
x + 2y = 18
(18, 0) (0, 9)
-5x + y = 30 (-6,
0) (0, 30)
-2x - 3y = -12 (6, 0) (0, 4)
What is the equation of each line in Standard Form?
x = 3 y = 1 x = 0