Professional Assisted Supplemental Instruction forMath
Information (PASI) By Greg Walton Find the slope of a line that
passes thru the points (-2, -2) and (0,5) Step 2:Label the points
x1 , y1 x2 , y2 (-2,-2)( 0,5 ) Step 3:Replace the x1 , y1andx2 , y2
with numbers, solve for m 5 (-2) 5+27 0 (-2)22 m == = Step 1:Write
the slope formula y2 y1 x2 x1 m = Professional Assisted
Supplemental Instruction forMath Information (PASI) By Greg Walton
Graph the point (3, 4) Start at zero go right to 3 Then go up to 4
Place your dot Right 3 Up 4 Graph the point (-3, 4) Left 3 Up 4
Start at zero go left to -3 Then go up to 4 Place your dot Graph
the point (-3, -4) Left 3 down 4 Start at zero go left to -3 Then
go down to -4 Place your dot Graph the point (3, -4) down 4 Start
at zero go right to 3 Then go down to -4 Place your dot Right 3
Professional Assisted Supplemental Instruction forMath Information
(PASI) By Greg Walton Graph the equation using the slope intercept
form y = 2x + 1 The slope intercept form is y =mx +b The m= slope
which tell us how to move from one point to another point. y =2x +
1m = 2=rise=2 y = mx + brun1The b = y intercept tell us where to
place out first point. y =2x + 1b = (0,1) y = mx + b Graph the
equation using the slope intercept form y = 2x + 1 How to move m =
2=rise=2 run1b = (0,1) starting point Up 2 Over 1 Professional
Assisted Supplemental Instruction forMath Information (PASI) By
Greg Walton Graph the equation y = 2x + 1 x equation y -1 2(-1) + 1
= -1 0 2(0) + 1 = 1 1 2(1) + 1 = 3 Assign values for x Place the x
value in the equation to get the y value. Order pairs to graph (-1,
-1) ( 0,1) ( 1,3) Order pairs to graph (-1, -1) ( 0,1) ( 1,3) Graph
the equation y = 12x + 3 x equation y -2 12(-2) + 3 = 2 0 12(0) + 3
= 3 2 12(2) + 3 = 4 Assign values for x Place the x value in the
equation to get the y value. Order pairs to graph (-2, 2) ( 0,3) (
2,4) Order pairs to graph (-2, 2) ( 0, 3) ( 2, 4) Professional
Assisted Supplemental Instruction forMath Information (PASI) By
Greg Walton Graph the equation using the x and y intercepts y = 2x
+ 1 To find the x intercept set y = 0 Solve for x 0 = 2x + 1 -1-1
-1 = 2x -1 = 2x 22 = 12 x intercept (12 , 0) Graph the equation
using the x and y intercepts y = 2x + 1 To find the y intercept set
x = 0 Solve for y y = 2(0) + 1 y =1 = 1 y intercept (0, 1) Graph
the equation using the x and y intercepts y = 2x + 1 x intercept
(12 , 0) y intercept (0, 1) Professional Assisted Supplemental
Instruction forMath Information (PASI) By Greg Walton Solve using
the Elimination Method equation 1: 8x y = 16 equation 2: -4x + 2y
=-20 Step 1. Multiply equation 2 by 2to eliminate the X. 2(-4x + 2y
= -20) -8x + 4y = -40
Step 2. Add equation 1 to the new equation 2: (-8x + 4y = -40)8x
y = 16 -8x + 4y = -40 3y = 24 3y = 24 3 3 y = -8 Solve using the
Elimination Method equation 1: 8x y = 16 equation 2: -4x + 2y =-20
Step 3. Solve for X using the solution for y. 8x y =16 8x (-8) = 16
8x + 8 = 16 8x + 8 8 = 16 8 8x = 8 8x = 8 88 y = -8 x = 1 Solve
using the Elimination Method equation 1: 8x y = 16 equation 2: -4x
+ 2y =-20 Step 4. Write the solution. (1 , -8) y = -8x = 1 Solve
using the Elimination Method equation 1: 8x y = 16 equation 2: -4x
+ 2y =-20 Professional Assisted Supplemental Instruction forMath
Information (PASI) By Greg Walton Solve using the Substitution
Method equation 1: 8x y =16 equation 2: -4x + 2y = -3 Step 1. Solve
for yinequation 1. 8x y =16 -8x -8x(subtract 8x from both sides) -y
= -8x + 16 -y = -8x + 16(divide both side by -4 ) -1-1-1 y = 8x 16
Solve using the Substitution Method equation1: 8xy =16 equation 2:
-4x + 2y = -20 Step 2. Replace the y in equation 2 with the
solution from equation 1 y = 8x 16.equation 2: -4x + 2y =
-20(replace y with 8x 16) -4x + 2(8x -16) = -20(solve for x) -4x +
16x 32 = -20(combine like terms)12x 32 +32 = -20 + 32(add 32to both
side) 12x= 12 12x = 12 (divide by 12) 1212 x = 1 Solve using the
Substitution Method equation 1: 8xy =16 equation 2: -4x + 2y = -20
Step 3. Solve for y in equation 1 with the solution x = 1.equation
1:8xy =16 8(1)y =168 y = 16(subtract 8 from both side) -8-8-y =
8(divide both side by -1) -1 -1 y = -8 Solve using the Substitution
Method equation 1: 8xy =16 equation 2: -4x + 2y = -20 Step 4. Write
the solution. (1 , -8) y = -8x = 1 Professional Assisted
Supplemental Instruction forMath Information (PASI) By Greg Walton
Step 1 Write the slope intercept form of a line y = mx + b Step 2
Find the value for m, x and y. The slope:m = 2The point: (3,4)x = 3
and y = 4 When given the slope and a point:m = 2 , the point (3,4)
Step 3 Substitute the values for each variable. y = mx + b4 = 2(3)
+ b When given the slope and a point:m = 2 , the point (3,4)Step 4
Solve for b4 = 2(3) + b 4 = 6 + b 4 6 = 6 6 + b -2 = b Step 5 Write
the slope intercept form of a line y = mx + b Replace the m with 2
and the b with -2 The equation of a line using the slope and a
point is: y = 2x 2 When given the slope and a point:m = 2 , the
point (3,4)
