Question

Oliver and Marie are graphing two equations on a coordinate grid. Oliver has graphed the equation y = 2x + 2. If Marie graphs y = 2x - 3, where will the y-intercept of her graph be in relation to Oliver's graph? A) 3 units lower B) 5 units lower C) 5 units higher D) the same place

Answer 1

Oliver : y = 2x + 2......y int is 2
maria : y = 2x - 3.......y int is -3

Maria's y int is 5 units lower then Oliver's y int

Answer 2

B) 5 units lower.

Explanation:

We have been given that Oliver has graphed the equation
`y=2x+2` and Marie graphs
`y=2x-3`. We are asked to find where Marie's graph will be with relation to Oliver's graph.

We can see that both lines are in slope-intercept form of equation:
`y=mx+b`, where,

m = Slope of the line,

b = Initial value or y-intercept.

We can see that both lines have same slope, but y-intercepts for both lines are different.

Since y-intercept is the point, where line crosses y-axis. We can see that Oliver's line will cross y-axis at y=2, while Marie's line crosses y-axis at y=-3.

Since -3 is 5 units below from 2, therefore, y-intercept of Marie's graph be 5 units lower than Oliver's graph and option B is the correct choice.