Finding Slope of a Line
Find the slope of the line that includes the following points.
(2, 3) (4, 5)
What is 1?
Solve for x.
2x + 4 = 6
What is 1? 2x + 4 = 6 - 4 -4 2x = 2 Divide each side by 2. 2 divided by 2 = 1.
Solve for x.
4x + 2x = 36
What is 6? You must combine like terms first. 4x + 2x = 6x New equation is 6x = 36 Since x is being multiplied by 6, we must divide both sides by 6. 36 divided by 6 = 6
Solve for x.
3(x + 2) = 12
What is 2? First you must apply the distributive property by multiplying 3 to every term in the parenthesis. 3x x = 3x and 3 x 2 = 6. New equation is 3x + 6 = 12 - 6 -6 3x = 6 Since x is being multiplied by 3, we must divide both sides 3. 6 divided by 3 = 2
Solve for x.
4x + 5 = 1 + 5x
What is 4?
Find the slope of the line that includes the following points.
(4, -5) (-4, 5)
What is -10/8 or -5/4?
Solve for x.
7x + 3 = 31
What is 4? 7x + 3 = 31 - 3 - 3 7x = 28 Since x is being multiplied by 7, you must divide each side by 7. 28 divided by 7 = 4
Solve for x.
9x - 7x - 5 = 17
What is 11? You must combine like terms first. 9x - 7x = 2x New equation is 2x - 5 = 17 +5 +5 2x = 22 Since x is being multiplied by 2, we must divide both sides by 2. 22 divided by 2 = 11
Solve for w.
5(w - 3) = 45
What is 12? First we must apply the distributive property by multiplying 5 by each term in the parenthesis. 5 x w = 5w. 5 x -3 = - 15. New equation: 5w - 15 = 45 +15 +15 5w = 60 Since w is being multiplied by 5, you must divide each side by 5. 60 divided by 5 = 12.
Solve for x.
5 + 14x = 9x - 5
What is -2?
Find the slope of the line that includes the following points.
(-12, -9) (-3, -3)
What is -6/-9 = 6/9 = 2/3?
Solve for z.
-3z - 7 = 23
What is -10? -3z - 7 = 23 +7 +7 -3z = 30 Since z is being multiplied by -3, you must divide each side by -3. 30 divided by -3 = -10
Solve for w.
7w - 3w + 4w = -16
What is -2? First you must combine like terms. 7w - 3w + 4w = 8w New equation is 8w = -16. Since w is being multiplied by 8, we must divide both sides by 8. -16 divided by 8 = -2.
Solve for y.
6(y + 4) = 2(y + 8)
What is -2? First we must apply the distributive property TWICE. 1. 6 x y = 6y and 6 x 4 = 24 2. 2 x y = 2y and 2 x 8 = 16 New equation. 6y + 24 = 2y + 16 -2y -2y 4y + 24 = 16 - 24 = -24 4y = -8 Since y is being multiplied by 4, divide each side by 4. -8 divided by 4 = -2
Find the slope of the line that includes the following points.
(2, 3) (-5, 3)
What is 0?
Solve for x.
11 - 7x = 18
What is -1? 11 - 7x = 18 -11 -11 -7x = 7 Since x is being multiplied by -7, we must divide each side by -7. 7 divided by -7 = -1.
Solve for a.
4a + 5 - 3a = -27
What is -32? First we must combine like terms. 4a - 3a = a New equation. a + 5 = -27 - 5 - 5 a = -32
Solve for y.
3(y - 7) + 5 = 32
What is 16?
Solve for w.
5(y - 3) = 8(y + 6)
What is -21? First we must apply the distributive property TWICE. 1. 5 x y = 5y and 5 x -3 = -15 2. 8 x y = 8y and 8 x 6 = 48 New equation: 5y - 15 = 8y + 48 -5y -5y - 15 = 3y + 48 - 48 - 48 - 63 = 3y Since y is being multiplied by 3, you must divide both sides by 3. -63 divided by 3 = -21
Find the slope of the line that includes the following points. (2, 3) (2, -5)
What is "undefined"?
Solve for x.
-6 + x/3 = 3
What is 27? -6 + x/3 = 3 +6 +6 x/3 = 9 Since x is being divided by 3, we must multiply each side by 3. 9 x 3 = 27
Solve for m.
6m - 7 - 4m - 16 = -23
What is 0? First you must combine like terms. 6m - 4m = 2m AND -7 - 16 = -23 New equation is 2m - 23 = -23 +23 +23 2m = 0 Since m is multiplied by 2, we must divide both sides by 2. 0 divided by 2 = 0
Solve for w.
44 = -7(w - 3) + 2
What is -3?
Solve for w.
7(2w - 1) - 3 = 6 + 6w
What is 2?