FIND MISSING COORDINATE USING SLOPE WORKSHEET

Find the value of x and y so that the line through the pair of points has the given slope.

Problem 1 :

(x, 3) and (5, 9) and slope (m) = 2

Solution

Problem 2 :

(-2, 3) and (4, y) and slope (m) = -3

Solution

Problem 3 :

(-3, -5) and (4, y) and slope (m) = 3

Solution

Problem 4 :

(-8, -2) and (x, 2) and slope (m) = 1/2

Solution

Answer Key

1)  x = -7

2)  y = -15

3)  y = 16

4)  x = 0

Problem 1 :

In the xy plane, the lines

y = mx - 7 are 2x + 3y = 6

are parallel. What is the value of m ?

Solution

Problem 2 :

A line passes through the points (-1, 2) and (5, b) and is parallel to the graph of the equation 4x - 2y = 13. What is the value of b ?

Solution

Problem 2 :

slopeofparaandperline

In the xy - plane above, line l is parallel to line m. What is the value of b?

Solution

Problem 4 :

slopeofparaandperlineq1.png

In the xy-plane above, if line l is perpendicular to line t, what is the value of a?

Solution

Answer Key

1)  m = -2/3

2)  b = 14

3)  b = 3/2

4)  a = 10

Problem 1 :

The graph of the line in the xy plane passes through points (0, 0) and (1, 2). The graph of the second line passes through points (1, 2) and (k, 0). If the two lines are perpendicular, what is the value of k ?

Solution

Problem 2 :

The graph of the function f contains the points (0, 3), (-2, 7) and (5, k). If the graph of f is a line. What must be the value of k ?

(a)  -13      (b)  -7       (c)  5      (d)  8

Answer Key

1)  k = 2

2)  k = -7

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