Exam 14: Review

Find the distance d( $\mathrm { d } \left( \mathrm { P } _ { 1 } , \mathrm { P } _ { 2 } \right) \text { between the points } \mathrm { P } _ { 1 } \text { and } \mathrm { P } _ { 2 }$ . - A) 6 B) $2 \sqrt { 5 }$ C) $12 \sqrt { 3 }$ D) 12

Write the standard form of the equation of the circle with radius r and center (h, k). - $\mathrm { r } = 2 ; ( \mathrm { h } , \mathrm { k } ) = ( 0,0 )$

Find an equation for the line with the given properties. -Slope undefined; containing the point $\left( - \frac { 3 } { 5 } , 7 \right)$

Solve the problem. -Find the equation of a circle in standard form that is tangent to the line x = -3 at (-3, 5) and also tangent to the line x = 9. A) $( x - 3 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 36$ B) $( x + 3 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 36$ C) $( x + 3 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 36$ D) $( x - 3 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 36$

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. - $4 x ^ { 2 } + 16 y ^ { 2 } = 64$

Find an equation for the line, in the indicated form, with the given properties. -Containing the points (-4, -6) and (1, 10); general form

Find an equation for the line with the given properties. -Parallel to the line x = -6; containing the point (3, 7)

Find the slope and y-intercept of the line. -y = -7

Determine whether the given point is on the graph of the equation. -Equation: y $y = x ^ { 3 } - \sqrt { x }$ Point: (1, 0)

List the intercepts of the graph. -

Graph the equation by plotting points. - $y=3 x+6$ A) B) C) D)

Find an equation for the line with the given properties. -Perpendicular to the line $- 5 x - y = 8$ ; containing the point $\left( 0 , - \frac { 8 } { 5 } \right)$

Find an equation for the line with the given properties. -The solid line L contains the point (2, 1) and is parallel to the dotted line whose equation is y = 2x. Give the equation for the line L in slope-intercept form.

Find the midpoint of the line segment joining the points $P _ { 1 } \text { and } P _ { 2 }$ - $\mathrm { P } _ { 1 } = ( - 6,4 ) ; \mathrm { P } _ { 2 } = ( 9,8 )$

Decide whether or not the points are the vertices of a right triangle. -(1, -3), (7, -1), (13, -8)

List the intercepts for the graph of the equation. - $y = x ^ { 4 } - 1$

Tell in which quadrant or on what coordinate axis the point lies. -(-16, 14)

Solve the problem. -Find the area of the right triangle ABC with A = (-2, 7), B = (7, -1), C = (3, 9). A) $\frac { \sqrt { 29 } } { 2 }$ square units B) 29 square units C) 58 square units D) $\frac { \sqrt { 58 } } { 2 }$ square units

List the intercepts of the graph. -

Write the equation in slope-intercept form. - $5 x - 3 y = 1$