Geometry CC
Assignment #33
Coordinate Geometry – Point Slope Formula
Equation of a Line
1 – 9: Write an equation of the line which is being described.
You may write your answer in slope-intercept form (y = mx + b) or in point-slope form.
You only have to have one answer. All correct forms of the answer will be given.
1.
2.
3.
4.
5.
6.
7.
8.
9.
The
The
The
The
The
The
The
The
The
slope is 3 and the y-intercept is 12.
slope is 2 and the line passes through the point (5, 16).
line passes through the points (3, 7) and (9, 7).
line passes through the points (5, 6) and (5, 11).
line passes through the points (3, 7) and (6, 13).
line passes through the points (– 3, 9) and (5, 17).
line passes through the points (4, – 4) and (– 8, 8).
line passes through the points (3, – 1) and (– 1, 5).
line passes through the points (– 3, – 2) and (9, 4).
R1. Determine if the following could be sides of a right triangle: {8, 15, 16} Show all work.
R2. Graph the following line using slope and y-intercept: y = 2x + 1
R3. The base angle of an isosceles triangle measures 40. Find the measure of the vertex
angle.
R4. Factor completely: 9x 3  x
R7. Evaluate: 3x 2  17x  20 , if x = 4
R5. Solve for x: x 2  2x  80
R8. Evaluate: 3x 2  17x  20 , if x 
R6. Factor: 3x 2  17x  20
R9. Solve for x:
2x  7 3x  5

3
5
5
3
1. y = 3x +12
2. y = 2x + 6
3. y = 7
y – 7 = 0(x – 3)
y – 7 = 0(x – 9)
4. x = 5 (only answer)
Do not write like
below. Never have
denominators of zero!
5
y  6   x  5
0
5
y  11   x  5 
0
5. y = 2x + 1
y – 7 = 2(x – 3)
y – 13 = 2(x – 6)
6. y = x + 12
y – 9 = 1(x + 3)
y – 17 = 1(x – 5)
7. y = 5 – x
y + 4 = – 1(x – 4)
y – 8 = – 1 (x + 8)
3
 x  1
2
3
y  1    x  3
2
8. y  5  
1
 x  3
2
1
y  4   x  9
2
9. y  2 
R1.
No
R2.
Graph
R3.
100
R4.
x(3x – 1)(3x + 1)
R5.
10, – 8
R6.
(3x – 5)(x – 4)
R7.
0
R8.
0
R9.
50