Reading Lines Graphs

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

Parallel Lines never intersect because...

• they have the same slopes. 

• they have the same y-intercept.

• they have different slopes.

• they have different y-intercepts. 

The slope is ​ ​ (a)   , and the y-intercept is ​ ​ (b)   . The graph represents a ​ (c)   relationship.

• positive

• 0

• proportional

• negative

• non-proportional

• 1

• -1

• 20

The slope is ​ ​ (a)   , and the y-intercept is ​ ​ (b)   . The graph represents a ​ (c)   relationship.

• negative

• 3

• non-proportional

• positive

• proportional

• -3

• 0

• -0.8

The slope is ​ ​ (a)   , and the y-intercept is ​ (b)   . The graph represents a ​ (c)   relationship.

• positive

• 4

• non-proportional

• negative

• proportional

• 0

• 2

• -4

The slope is ​ ​ (a)   , and the y-intercept is ​ ​ (b)   . The graph represents a ​ (c)   relationship.

• negative

• 5

• non-proportional

• positive

• proportional

• -5

• 0

• -0.66

The slope is ​ ​ ​ (a)   , and the y-intercept is ​ ​ (b)   . The graph represents a ​ (c)   relationship.

• negative

• 0

• proportional

• positive

• non-proportional

• 1

• -1

• 2

The slope is ​ ​ (a)   , and the y-intercept is ​ (b)   . The graph represents a ​ (c)   relationship.

• positive

• 2

• non-proportional

• negative

• proportional

• 0

• -1

• -2

The slope is ​ ​ (a)   , and the y-intercept is ​ (b)   . The graph represents a ​ (c)   relationship.

• positive

• -2

• non-proportional

• negative

• proportional

• 2

• 0.66

• 3

The slope is ​ ​ ​ (a)   , and the y-intercept is ​ (b)   . The graph represents a ​ (c)   relationship.

• negative

• 5

• non-proportional

• positive

• proportional

• -2

• 0

• 2.5