Exam 14: Review

Find the slope of the line and sketch its graph. - $y-4=0$ A) slope $= \frac { 1 } { 4 }$ B) slope $= 4$ C) slope is undefined D) slope $= 0$

Graph the line containing the point P and having slope m. - $\mathrm { P } = ( - 4 , - 8 ) ; \mathrm { m } = - 1$ A) B) C) D)

Find the center (h, k) and radius r of the circle with the given equation. - $( x - 2 ) ^ { 2 } + y ^ { 2 } = 9$

Write the standard form of the equation of the circle. -

Find an equation for the line with the given properties. -Parallel to the line -2x - y = 4; containing the point (0, 0) A) $y = \frac { 1 } { 2 } x$ B) $y = - \frac { 1 } { 2 } x$ C) $y = \frac { 1 } { 2 } x + 4$ D) $y = - 2 x$

Find an equation for the line, in the indicated form, with the given properties. -Containing the points (6, -8) and (0, 3); general form

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - $x ^ { 2 } + y - 81 = 0$

List the intercepts for the graph of the equation. - $y = x ^ { 3 } - 27$

Find the slope of the line. - A) $- 7$ B) 7 C) $- \frac { 1 } { 7 }$ D) $\frac { 1 } { 7 }$

List the intercepts for the graph of the equation. -y = 2x

Find an equation for the line, in the indicated form, with the given properties. -Containing the points (-4, -1) and (1, 2); slope-intercept form A) $y = m x + \frac { 7 } { 5 }$ B) $y = - \frac { 3 } { 5 } x + \frac { 7 } { 5 }$ C) $y = \frac { 3 } { 5 } x + \frac { 7 } { 5 }$ D) $y + 1 = \frac { 3 } { 5 } ( x + 4 )$

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - $y = 2 x ^ { 2 } + 5$

List the intercepts and type(s) of symmetry, if any. - $y ^ { 2 } = x + 1$

Find the distance d( $\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) \text { between the points } \mathrm { P } _ { 1 } \text { and } \mathrm { P } _ { 2 }$ . - $\mathrm { P } _ { 1 } = ( 0,8 ) ; \mathrm { P } _ { 2 } = ( - 5,8 )$

List the intercepts of the graph. -

List the intercepts of the graph.Tell whether the graph is symmetric with respect to the x-axis, y-axis, origin, or none of these. - A) intercepts: $( - 1,0 ) , ( 0,0 ) , ( 1,0 )$ symmetric with respect to $x$ -axis B) intercepts: $( - 1,0 ) , ( 0,0 ) , ( 1,0 )$ symmetric with respect to $\mathrm { y }$ -axis C) intercepts: $( - 1,0 ) , ( 0,0 ) , ( 1,0 )$ symmetric with respect to origin D) intercepts: $( - 1,0 ) , ( 0,0 ) , ( 1,0 )$ symmetric with respect to $x$ -axis, $y$ -axis, and origin

Find an equation for the line with the given properties. -Vertical line; containing the point (8.8, 5.7)

Find an equation for the line, in the indicated form, with the given properties. -Containing the points (1, -5) and (-4, 6); general form

Solve the problem. -If (1, -4) is the endpoint of a line segment, and (3, 1) is its midpoint, find the other endpoint.

Tell in which quadrant or on what coordinate axis the point lies. -(12, -13)