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

B) 5 units lower.

Step-by-step explanation:

We have been given that Oliver has graphed the equation and Marie graphs . 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: , 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.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

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step-by-step explanation: