October 23, 2015
Do NOW:
Obj: To write equations of lines.
Write the equation of the line with slope = 2 and passes through
the point (1, -3).
y = 2x - 5
October 23, 2015
October 23, 2015
(3.4) Equations of Lines
Objective: To write equations of lines.
Why: Many problems in business are represented by linear
functions.
October 23, 2015
Obj: To write equations of lines.
Slope-intercept Form:
y = mx + b
Point-slope Form:
y - y1 = m(x - x1)
October 23, 2015
Obj: To write equations of lines.
1. Write an equation in slope-intercept form of the line with
slope = 6 and y-intercept of -3.
October 23, 2015
Obj: To write equations of lines.
2. Write an equation in point-slope form of the line with
-3
slope =
that contains the point (-10, 8).
5
October 23, 2015
Obj: To write equations of lines.
3. Write the equation of a line through (-3, -7) and (-1, 3).
October 23, 2015
Obj: To write equations of lines.
4. Write the equation of the line that passes through the point (-2,2) and
a. is parallel to y = -5x - 8
b. is perpendicular to y = -5x - 8
October 23, 2015
Obj: To write equations of lines.
5. Write an equation of the perpendicular bisector of AB if A(-5, 4) and
B(7, -2).
October 23, 2015
6. An apartment complex charges $525 per month plus a $750
annual maintenance fee.
a. Write an equation to represent the total first year's cost A
for r months of rent.
b. Compare this rental cost to a complex that charges a $200
annual maintenance fee but $600 per month for rent. If a
person expects to stay in an apartment for one year, which
complex offers the better rate?
October 23, 2015
Obj: To write equations of lines.
HW:
(HR) (3.4) Pg. 202:
15, 17, 25, 27, 29, 35, 37, 38, 42, 51, 55, 57
and (3.4 Lab) Pg.206: 1, 2