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)