For Each Equation, Find the Slope and Y-Intercept

Intersecting Lines through Graphing PART 1: For each equation: a) Find the slope and y-intercept. b) Graph the line using the slope-intercept method. c) Determine the point where they intersect (cross each other).

1  2 y  x  4 y  x  5 2 3 1. 2. 1 1 y  x  2 y  x  4 2 3 a) Line 1: m = b = a) Line 1: m = b =

Line 2: m = b = Line 2: m = b =

Intersection Point: ( , ) Intersection Point: ( , )

y  x  3 y  x 1 3. 4.  2 y  x  9 y  x  8 3 a) Line 1: m = b = a) Line 1: m = b =

Line 2: m = b = Line 2: m = b = Intersection Point: ( , ) Intersection Point: ( , ) 1 y  2x  6 y  x 1 2 5. 6.  4 y  x  2 y  3x 1 3 a) Line 1: m = b = a) Line 1: m = b =

Line 2: m = b = Line 2: m = b =

Intersection Point: ( , ) Intersection Point: ( , )

PART 2: For each equation: a) Rearrange the equation into y = mx + b form. b) Find the slope and y-intercept. c) Graph the line using the slope-intercept method. d) Determine the point where they intersect (cross each other).

Show work on looseleaf and use graph paper and a ruler. Hand in with this sheet!

PART 3: For each equation: a) Use the comparison method (algebra) to determine the intersection point.

Example: Y = 2x + 3 slope = 2/1 y-int = 3

Y = -x – 3 slope = -1/1 y-int = -3

Intersection point (-2, -3)

1 to 9

11 to 18

23 to 29

For each equation, find the slope and y-intercept. Graph the 2 equations on the same line. Determine where the two intersect.

Each graph goes from -20 to 20 on x and y axes.

1,2 7, 9, 10, 11, 13

Each graph goes from -30 to 30

3, 4, 5, 8, 12