Equation of a line: slope-intercept form
Objectives
Student will be able to:
write an equation in slope-intercept form when given the slope and
y
-intercept of a line.
write an equation in slope-intercept form when given the graph of an equation.
write an equation in slope-intercept form when given the slope and one point on a line.
Exercises
Write a linear equation for each word problem.
1.
Mary's expense for a taxi ride consists of two parts: a flat fee of $30 and an additional fee of $0.20 per mile. Write an equation to model the total charges,
y
, (in dollars) in terms of
x
, the number of miles driven.
or
1
.
Correct
Incorrect
Not Assigned
2.
A particle has an initial velocity of
and is moving with an acceleration of
. Write a linear equation showing the velocity,
v
, after
t
seconds.
or
2
.
Correct
Incorrect
Not Assigned
3.
The monthly expenses of a typical family consists of two parts. One is a fixed expense of $300, and the other part depends on the number of members of the family. If the expenses per member is $200, write an equation in slope-intercept form to model the total expense,
y
, (in dollars) in terms of
x
, the number of members of the family.
or
3
.
Correct
Incorrect
Not Assigned
4.
The cost of a taxi ride is an initial fee of $4 plus $1.25 for each mile. Write an equation to model the total charges,
y
, (in dollars) in terms of
x
, the number of miles driven.
or
4
.
Correct
Incorrect
Not Assigned
5.
Omar borrowed $100 from his brother. To repay the loan, he agreed to pay him $5 a week. Let
y
represent the balance amount of Omar's loan after
x
weeks. Write an equation to model the situation.
or
5
.
Correct
Incorrect
Not Assigned
6.
Jose's father weighed 190 pounds. He has lost 2 pounds a month for
x
months. Write a linear equation to model the situation.
or
6
.
Correct
Incorrect
Not Assigned