Exam 2: The Rectangular Coordinate System, Lines, and Circles

Find the equation of the line described, and express your answer in the specified form. -Perpendicular to the line y = -3x - 4; passes through the point (4, 3); slope-intercept form

Find the distance d(A, B)between the points A and B. -A = (4, 4); B = (4, 2)

Find the equation of the line passing through the indicated two points in standard form. -(2, -3)and (-7, 4)

Find the intercepts of the circle. Round to the nearest hundredth, when necessary. - $( x - 4 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 9$

Sketch the line with the given slope that passes through the indicated point. -Slope is undefined; line passes through the point (-7, 10)

Find the slope-intercept form of the equation of the line with the given properties. -Slope $= - \frac { 5 } { 3 } ; y -$ intercept $= 5$

Find the slope of the line determined by the given equation and then sketch the line. - $3 x - 5 y = - 1$

Find the equation of the line described, and express your answer in the specified form. -Perpendicular to the line y = 5; passes through the point (8, 1); standard form

Find the equation of the line described, and express your answer in the specified form. -Perpendicular to the line x = 5; passes through the point (9, 2); standard form

Decide whether the pair of lines is parallel, perpendicular, or neither. -6x + 2y = 8 27x + 9y = 39

Graph the equation. - $x ^ { 2 } + ( y - 2 ) ^ { 2 } = 9$

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form. -(4, 0)and (-9, 6)

Write the standard form of the equation of the circle. -Center (5, 7), r = 12

Find the equation of the line passing through the indicated two points. Write the equation in point-slope form. -(7, 9)and (4, 1)

Plot the ordered pair in the Cartesian plane, and state in which quadrant or on which axis it lies. -(0, 4)

Determine whether the points A, B, and C form a right triangle. -A = (-7, -3); B = (-1, -1); C = (5, -8)

Find the center and radius of the circle with the given equation. - $x ^ { 2 } + y ^ { 2 } - 10 x + 2 y + 26 = 16$

Graph the equation by plotting intercepts. -3x - y = 9

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form. -(8, 7)and (-8, 7)

Sketch the line with the given slope that passes through the indicated point. -Slope = 1; line passes through the point (-4, -6)