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Solve the problem.
- Find the length of each side of the triangle determined by the three points P 1
, P
, and P 3
State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both.
P
= (-5, - 4), P
= (-3, 4), P
Find the midpoint of the line segment joining the points P 1
and P 2
2) P
= (7, 1);^ P
= (-16,^ - 16)^ 2)
Find an equation for the line, in the indicated form, with the given properties.
- Containing the points ( 1 , - 3 ) and (- 7 , - 4 ); slope-intercept form 3)
Find the slope-intercept form of the equation of the line with the given properties.
- Slope = - 2 ; y-intercept = - 15 4)
Find the slope and y-intercept of the line.
15 x + 7 y = 17 5)
y = - 3 6)
Find an equation for the line with the given properties.
Parallel to the line 5 x (^) + 6 y (^) = 33 ; containing the point ( 3 , (^) - 6 ) 7)
Perpendicular to the line y =
x + 6; containing the point (4, - 2) 8)
Find the zero of the linear function.
- F(x) =
x - 8 9)
Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary.
x 1 3 5 7 9
y 143 116 100 98 90
Determine if the type of relation is linear, nonlinear, or none.
Solve the system.
3 x + 20 y = 20
2x - 4y = - 4
Answer Key
Testname: M1111 TEST2 SPRING 2009
- d(P1, P2) (^) = 2 17 ; d(P2, P3) (^) = 34 ; d(P1, P3) (^) = 34
both
- y =
x -
y = - 2 x - 15
slope = -
; y-intercept =
slope (^) = 0; y-intercept (^) = - 3
5 x + 6 y = - 21
y = - 8 x + 30
y (^) = - 6.2x (^) + 140.
nonlinear
x = 0, y = 1
y = - 8 x + 8 , where x is any real number
4 mph
60 lb
(x - 2)
- (x - 5)
