Identify the slope and y-intercept for each line.
\displaystyle
\begin{array}{lllll}
&a) & y= 3x +4 &c) & y = -1.11 + 9.7x \\
&b)& y = -\frac{2}{5}x - 6.8 &d)& y =3 \\
\end{array}
Order the set of lines from closest to horizontal to closest to vertical.
\displaystyle
\begin{array}{lllll}
& y = 2x -4 \\
& y = x + 8\\
& y = \frac{1}{3}x - 2
\end{array}
Order the set of lines from closest to horizontal to closest to vertical.
\displaystyle
\begin{array}{lllll}
& y = -\frac{1}{3}x + 5\\
& y = -8x - 2\\
& y = -\frac{5}{2}x + 3
\end{array}
Copy and complete the table to identify whether the lines will rise or fall to the right.
Determine the slope and y-intercept.
\displaystyle
3x - 4y + 9 = 0
Determine the slope and y-intercept.
\displaystyle
5x - y = 12
Determine the slope and y-intercept.
\displaystyle
2x + 6y = 32
Determine the slope and y-intercept.
\displaystyle
8x + 2y - 4 = 0
Evan and Sara shovel driveway in the winter time to earn some money. They charge $10 for a double driveway and $5 for a single driveway. This past winter, Min earned $255 and Steve earned $230.
a. Write equations for both Evan and Sarah to represent the relationship between the amounts earned shovelling single and double driveways.
b. Isolate the variable used for single driveways in both equations.
c. If they both shovelled 10 double driveways, how many single driveways did each shovel?
Calculate the slopes of the line segments shown below.
Calculate the slopes of the lines that pass through each of the following pairs of points.
A(8, 2) and B(1, 9)
Calculate the slopes of the lines that pass through each of the following pairs of points.
E(-1, 5) and F(3, 2)
Calculate the slopes of the lines that pass through each of the following pairs of points.
C(-1, 2) and D(3, -8)
Calculate the slopes of the lines that pass through each of the following pairs of points.
G(-3, 2) and H(-9, -11)
he points (-6, -3), (k, 1), and (8, 4) are collinear. Determine the value of k.
Three hours after beginning her long-distance bicycle trip, Cathy was 98 km from home. After seven hours, she was 182 km from home. Assuming she maintained the same speed throughout the trip, how fast was she cycling?
Determine the equation of each line.
Determine the equation of the line described below.
Passing through the point M(6,9) with slope =-\dfrac{3}{4}
Determine the equations of the lines described below.
b) passing through the points P(3,-11) and Q(0,5)
Determine the equations of the lines described below.
c) passing through the points D(2,9) and E(1,13)
Determine the equations of the lines described below.
d) passing through the points A(5,2) and B(5,-3)
Determine the equations of the lines described below.
passing through the points X(8, 5)$ and
Y(2, 3)
Determine whether the points A(2, -6) and
B(-3, 10) lie on the line y=-4x+2.
Determine if the lines are parallel, perpendicular, or neither Justify your answers.
y=3x-5
y=-3x-5
Determine if the lines are parallel, perpendicular, or neither Justify your answers.
y=0.25x-2
y=\dfrac{1}{4}x-9
Determine if the lines are parallel, perpendicular, or neither Justify your answers.
y=\dfrac{1}{2}x+4
y=-2x-8
Determine if the lines are parallel, perpendicular, or neither Justify your answers.
2x - 4y=9
x + 2y + 7=0
Determine if the lines are parallel, perpendicular, or neither Justify your answers.
y=0.625x - 2
y=-1.6x - 9
Determine if the lines are parallel, perpendicular, or neither Justify your answers.
3x - 5y - 10=0
5x + 3y + 2 =0
Determine the equation for the line
passing through the point W(2,9) and parallel to y=\dfrac{7}{2}x+3.
Determine the equation for the line
passing through the point V(1,6) and perpendicular to y=-\dfrac{1}{4}x+11.
Determine the equation for the line
passing through the y-intercept of the line defined by 2x+3y-18=0 and perpendicular to 4x-9y=27.