Exam 3: The Rectangular Coordinate System and Graphs of Equations

In the following exercise, assume straight-line depreciation. A word processor costs $570.00 when new and is expected to be worth $195.00 after 5 years.What will It be worth after 2 years?

Find the graph of the equation. $3 x - y = 2$

Graph the equation. $y = 2 - | x |$

Find the slope of the line through $P ( 2 , - 2 )$ and $Q ( 6 , - 18 )$ .

Write the equation of the line that passes through the point $P ( 0,0 )$ and is parallel to the line $y = 10 x - 9$ .

Graph the equation. $y = x ^ { 2 } + 3 x$

Use point-slope form to write the equation of the line.

The power, in watts, dissipated as heat in a resistor varies jointly with the resistance, in ohms, and the square of the current, in amperes.A 10-ohm resistor carrying a current of 1 ampere dissipates 10 watts. How much power is dissipated in a 50-ohm resistor carrying a current of 9 amperes?

Find the slope of the line. $11 x - 3 = 10 ( y + x )$

Draw the line using the slope and $y$ -intercept. $y + 1 = 2 x$

Use the slope-intercept form to write the equation of the line passing through the point $P ( 24,2 )$ and having the slope $m = - \frac { 1 } { 2 }$ . Express the answer in general form.

Find the slope of the line. $2 ( x - 16 ) = 25 y + 21$

Find the slope of the line. $6 ( x - 25 ) = 25 y + 17$

Draw the line using the slope and y-intercept. $y + 2 = 2 x$

Write the equation of the line that passes through the point $P ( 0,0 )$ and is perpendicular to the line $y = -$ $4 x + 10$ .

True or False? The points $A , B , C$ and $D$ are vertices of a square. $A ( 6,4 ) ; B ( 8,5 ) ; C ( 7,7 ) ; D ( 5,6 )$

Write the equation of the line that passes through the point $P ( 0,0 )$ and is parallel to the line $y = 10 x - 9$ .

Graph the equation. $y = 5 | x |$

True or False? The points $A , B , C$ and $D$ are vertices of a square. $A ( - 4 , - 6 ) ; B ( - 2 , - 5 ) ; C ( - 3 , - 3 ) ; D ( - 5 , - 4 )$

Find the slope of the line. $y = 11 x + 16$