1) Find the slope of each line
2) Find the slope of each line
3) Find the slope of each line
4) Find the slopes of lines that are parallel and perpendicular to the line that passes through \((5, -2)\) and \((-6, 1)\).
5) Find the slopes of lines that are parallel and perpendicular to the line that passes through \((7, 2)\) and \((4, 5)\).
6) Find the slopes of lines that are parallel and perpendicular to the line that passes through \((6.4, -2.1)\) and \((-5.3, -4.8)\)
7) Write two equations of lines that are equivalent to \(2x + y = -8\).
8) Write two equations of lines that are equivalent to \(y = \frac{2}{3}x + 6\).
5) Find the slopes of lines that are parallel and perpendicular to the line that passes through \((7, 2)\) and \((4, 5)\).
6) Find the slopes of lines that are parallel and perpendicular to the line that passes through \((6.4, -2.1)\) and \((-5.3, -4.8)\)
7) Write two equations of lines that are equivalent to \(2x + y = -8\).
8) Write two equations of lines that are equivalent to \(y = \frac{2}{3}x + 6\).
15) Given the line \( y = \frac{2}{3}x – 4\):
a) write an equation of a parallel line.
b) write an equation of a perpendicular line.
16) Given the line \(3x - 2y = 6\):
a) write an equation of a parallel line.
b) write an equation of a perpendicular line.
17) Write an equation of a line with a slope of \(-\frac{4}{5}\) passing thru \((2, 1)\). Use point-slope form.
18) Rewrite the equation from problem #17 in slope-intercept form.
19) Write the equation of a line parallel to \(y = \frac{3}{4}x – 5\) passing through \((1, 2)\).
20) Write the equation of a line perpendicular to \(y = -\frac{8}{5}x + 3\) passing through \((-6, 2)\).
21) Write the equation of a line perpendicular to \(7x + 14y = 28\) passing through \((4, 0)\).
22) What is the relationship, if any, between \(\overleftrightarrow{HA}\) and \(\overleftrightarrow{WK}\) if \(H (-3, 2)\), \(A (4, -1)\), \(W (-5, -2)\) and \(K (2, -5)\)?
23) A taxi service offers rides that charges \(\$1.20\) to start and \(\$1.40\) per mile.
a) Write an equation that represents the cost \(t\) of a ride in terms of the number of miles \(m\) driven.
b) What is the cost of a \(3.2\) mile taxi ride?
Suppose the taxi company decides to raise their rates to \($1.60\) for the start of a ride.
c) Write an equation that represents this new situation in terms of \(t\) and \(m\).
d) How would the graphs of the two equations in parts a) and c) compare? Explain.
a) write an equation of a parallel line.
b) write an equation of a perpendicular line.
16) Given the line \(3x - 2y = 6\):
a) write an equation of a parallel line.
b) write an equation of a perpendicular line.
17) Write an equation of a line with a slope of \(-\frac{4}{5}\) passing thru \((2, 1)\). Use point-slope form.
18) Rewrite the equation from problem #17 in slope-intercept form.
19) Write the equation of a line parallel to \(y = \frac{3}{4}x – 5\) passing through \((1, 2)\).
20) Write the equation of a line perpendicular to \(y = -\frac{8}{5}x + 3\) passing through \((-6, 2)\).
21) Write the equation of a line perpendicular to \(7x + 14y = 28\) passing through \((4, 0)\).
22) What is the relationship, if any, between \(\overleftrightarrow{HA}\) and \(\overleftrightarrow{WK}\) if \(H (-3, 2)\), \(A (4, -1)\), \(W (-5, -2)\) and \(K (2, -5)\)?
23) A taxi service offers rides that charges \(\$1.20\) to start and \(\$1.40\) per mile.
a) Write an equation that represents the cost \(t\) of a ride in terms of the number of miles \(m\) driven.
b) What is the cost of a \(3.2\) mile taxi ride?
Suppose the taxi company decides to raise their rates to \($1.60\) for the start of a ride.
c) Write an equation that represents this new situation in terms of \(t\) and \(m\).
d) How would the graphs of the two equations in parts a) and c) compare? Explain.
Review
27) Find the slope of the line passing through the points \(\left(-\dfrac{5}{2}, 1\right)\) and \(\left(-\dfrac{1}{2}, 4\right)\).
28) Find \(HI\) given \(H(6, -3)\) and \(I(-5, -7)\).
27) Find the slope of the line passing through the points \(\left(-\dfrac{5}{2}, 1\right)\) and \(\left(-\dfrac{1}{2}, 4\right)\).
28) Find \(HI\) given \(H(6, -3)\) and \(I(-5, -7)\).