ALGEBRA 1 NOTES
NAME:____________________________
DATE: _________________
SLOPE-INTERCEPT FORM NOTES
!
THE ____________________ FORM OF AN EQUATION IS: ____________________
m = _____________
b = __________________
! EXAMPLE 1: IDENTIFY THE SLOPE AND Y-INTERCEPT OF EACH LINE.
A. y = −2 x + 7
B. 6x − 3y = 18
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! TRY THIS: IDENTIFY THE SLOPE AND Y-INTERCEPT OF EACH LINE.
1
A. y = x − 5
B. 2y + x = 8
C. −2x + 6y = 0
3
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! EXAMPLE 2: Graph y = 3x – 1
Step 1: Identify the slope & y-intercept.
m = ______
b = _______
Step 2: Graph the ____________________.
Step 3: Use the __________ to plot another point.
Step 4: Draw a line through the points.
! EXAMPLE 3: Graph 2X + 3Y = 9
**What do we need to do before Step 1?
TRY THESE:
A. y = 2x + 4
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B. 3x + 2y = −2
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! EXAMPLE 4: SPECIAL CASES
B. x = −4
A. y = 3
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! EXAMPLE 4: WRITE AN EQUATION IN SLOPE-INTERCEPT OF THE LINE THAT…
A. …HAS A SLOPE OF -5 AND A Y-INTERCEPT OF 2
B. …HAS A SLOPE OF ½ AND GOES THROUGH THE POINT (0, -7)
HINT: WHAT IS THE Y-INTERCEPT? ___
! TRY THESE: WRITE AN EQUATION IN SLOPE-INTERCEPT OF THE LINE THAT…
C. …HAS A SLOPE OF 1 AND A Y-INTERCEPT OF -9
D. …HAS A SLOPE OF -3 AND GOES THROUGH THE POINT (0, 5)
! EXAMPLE 5: WRITE AN EQUATION IN SLOPE-INTERCEPT FORM FOR THE LINE GRAPHED BELOW.
STEP 1: FIND THE Y-INTERCEPT.
b = ________
STEP 2: FIND THE SLOPE.
m = _________
STEP 3: WRITE THE EQUATION. __________________
! EXAMPLE 6: WRITE AN EQUATION IN SLOPE-INTERCEPT FORM FOR THE LINE GRAPHED BELOW.
b = _______
m = ________
EQUATION:
__________________
TRY THIS:
b = ________
m = _________
Equation: ___________________
! EXAMPLE 7: HORIZONTAL AND VERTICAL LINES
o HORIZONTAL LINES: ______________________.
o VERTICAL LINES: _________________________.
WRITE AN EQUATION FOR EACH LINE.
A.
B.