Exam 14: Review

Graph the circle with radius r and center (h, k). - $\mathrm{r}=3 ;(\mathrm{h}, \mathrm{k})=(-3,-2)$ A) B) C) D)

Find the slope-intercept form of the equation of the line with the given properties. -Slope = 7; y-intercept = 12 A) $y = 7 x - 12$ B) $y = 7 x + 12$ C) $y = 12 x + 7$ D) $y = 12 x - 7$

Find the center (h, k) and radius r of the circle. Graph the circle. - $x^{2}+y^{2}-4 x-6 y+9=0$ A) $( \mathrm { h } , \mathrm { k } ) = ( 2,3 ) ; \mathrm { r } = 2$ B) $( \mathrm { h } , \mathrm { k } ) = ( - 2,3 ) ; \mathrm { r } = 2$ C) $( \mathrm { h } , \mathrm { k } ) = ( 2 , - 3 ) ; \mathrm { r } = 2$ D) $( \mathrm { h } , \mathrm { k } ) = ( - 2 , - 3 ) ; \mathrm { r } = 2$

Write the standard form of the equation of the circle with radius r and center (h, k). - $r = 6 ; ( h , k ) = ( 0 , - 5 )$

Find the center (h, k) and radius r of the circle with the given equation. - $x ^ { 2 } + y ^ { 2 } - 4 x + 8 y = 29$

Find the slope of the line containing the two points. -(3, 0); (0, 4) A) $\frac { 4 } { 3 }$ B) $- \frac { 4 } { 3 }$ C) $- \frac { 3 } { 4 }$ D) $\frac { 3 } { 4 }$

Find the distance d( $\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) \text { between the points } \mathrm { P } _ { 1 } \text { and } \mathrm { P } _ { 2 }$ . - $\mathrm { P } _ { 1 } = ( 0,0 ) ; \mathrm { P } _ { 2 } = ( - 9,5 )$

Solve the problem. -If (-7, -3) is the endpoint of a line segment, and (-3, -5) is its midpoint, find the other endpoint.

Find the slope and y-intercept of the line. - $\text { Slope } = - \frac { 2 } { 3 } ; \text { containing the point } ( 0,5 )$

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: $( 0 , - 1 )$ and $( 0,1 )$ symmetric with respect to $y$ -axis B) intercepts: $( 0 , - 1 )$ and $( 0,1 )$ symmetric with respect to $x$ -axis, $y$ -axis, and origin C) intercepts: $( - 1,0 )$ and $( 1,0 )$ symmetric with respect to origin D) intercepts: $( - 1,0 )$ and $( 1,0 )$ symmetric with respect to $x$ -axis, $y$ -axis, and origin

Find the slope of the line and sketch its graph. - $3 x-4 y=-10$ A) slope $= - \frac { 3 } { 4 }$ B) slope $= \frac { 3 } { 4 }$ C) slope $= \frac { 4 } { 3 }$ D) slope $= - \frac { 4 } { 3 }$

Find the center (h, k) and radius r of the circle with the given equation. - $3 ( x + 2 ) ^ { 2 } + 3 ( y + 3 ) ^ { 2 } = 36$

Find an equation for the line with the given properties. -Perpendicular to the line x = 8; containing the point (6, 3)

Find the midpoint of the line segment joining the points $P _ { 1 } \text { and } P _ { 2 }$ - $\mathrm { P } _ { 1 } = ( 5 \mathrm { x } , 6 ) ; \mathrm { P } _ { 2 } = ( 6 \mathrm { x } , 7 )$

Solve the problem. -Find an equation in general form for the line graphed on a graphing utility.

List the intercepts of the graph. -

Find the slope of the line. -

Tell in which quadrant or on what coordinate axis the point lies. -(-7, 0)

Find an equation for the line, in the indicated form, with the given properties. -Containing the points (8, 0) and (0, -10); general form A) $10 x + 8 y = 80$ B) $10 x - 8 y = 80$ C) $y = - \frac { 5 } { 4 } x + 8$ D) $y = - \frac { 5 } { 4 } x - 10$

Plot the point. - $(-2,6)$ A) B) C) D)