graph the following 2 graphs - y=2x+3 and y=2x-4.
a)state the intersections on the y axis and the x axis.
b)what is the vertical and horizontal difference between the two graphs?
PLEASE help i don't understand? I know how to graph the eqautions but not too sure about the intersections on the y and x axis and i have no clue on part B. help please
The y = 2x -4 line intercepts the y axis at y = -4, and intersects the x axis at x = 2. You could verify that from your graphs, or by setting x = 0 and then y = 0 and solving for the other variable.
Since the lines intersect, I don't know what they mean by the distance between the two graphs (lines). It depends upon where you measure it.
these lines don't intersect, there parrallel. soo..?
Sure, I can help you with that!
a) To find the intersections on the y-axis, we need to identify the y-coordinate when x is equal to 0 for each equation.
For the first graph, y = 2x + 3, when x = 0:
y = 2(0) + 3
y = 0 + 3
y = 3
So, for the first graph, the intersection on the y-axis is at (0, 3).
For the second graph, y = 2x - 4, when x = 0:
y = 2(0) - 4
y = 0 - 4
y = -4
So, for the second graph, the intersection on the y-axis is at (0, -4).
To find the intersections on the x-axis, we set y = 0 and solve for x.
For the first graph, y = 2x + 3, when y = 0:
0 = 2x + 3
-2x = 3
x = -3/2
So, for the first graph, the intersection on the x-axis is at (-3/2, 0).
For the second graph, y = 2x - 4, when y = 0:
0 = 2x - 4
2x = 4
x = 2
So, for the second graph, the intersection on the x-axis is at (2, 0).
b) The vertical difference between the two graphs is the difference in their y-intercepts. In this case, it would be |3 - (-4)| = 7 units.
The horizontal difference between the two graphs is the difference in x-values at any given y-value. Since both graphs have the same slope of 2, they are parallel and will never intersect, except at the single point they share (0, -4). Therefore, the horizontal difference is undefined.
I hope this explanation helps you understand how to find the intersections and differences between graphs!