3.4 hmwk: p174: 2-6all, 7-15odd, 16-18all, 19-32odd
2. slope is zero, slope is undefined
3. D 4. A 5. B 6. C
7. 1/2 9. 0 11. rise = 3 run = 4 ∴ m = 3/4
13. ⊥ opposite reciprocal slopes, product = -1
15. ⊥ opposite reciprocal slopes, product = -1
16 - 18 compare graphs with a neighbor
19. line 2 21. line 1
23 - 29 compare graphs with your neighbor
23. m = -2, b = 3 25. m = 7
27. m = 1, b = 2
29. m = -3/2, b = -2
31. x = 5
33. 2/3
Quick Draw
3.5 Write and Graph Equations of Lines
linear relationship (aka. linear function) a relationship that has a constant rate of change
a relationship whose graph is a line
a relationship whose table increases by the same
amount
Slope Intercept Form
y = mx + b
y-intercept
dependent
variable
slope
independent
variable
State the equation represented in each graph
is slope intercept form.
y = -3/2 x - 2
y = 1/2 x + 3
y = -3x + 1
Write an equation for the line that contains
the point (5, 1) and is parallel to y = 3/5 x - 4
y = 3/5 x - 2
Write an equation for the line that contains
the point (-3, 5) and is parallel to y = -2x + 3
y = -2 x - 1
Write an equation for the line that contains
the point (8, -5) and is parallel to x - 2y = 16
y = 1/2x - 9
Write an equation for the line that contains the
point (4, 6) and is perpendicular to y = x - 3
y = -x + 10
Write an equation for the line that contains the
point (4, 2) and is perpendicular to y = -1/3x + 2
y = 3x - 10
Write an equation for the line that contains the
point (8, -2) and is perpendicular to 4x - 2y = 9
y = -1/2x + 2
Use intercepts to graph each equation.
2x - 3y = 6
3x + 4y = 12
2x - y = 4
y = 15
y = 4x
3.5 hmwk: p184: 1-8all, 10-44even, 49, 50, 53, 55, 58 for 53 and 55