Question

Medal and fan

Answer 1

A pair of equations is shown below:

y = 2x − 1
y = 4x − 5

Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)

Part B: What is the solution to the pair of equations? (4 points)

Answer 2

B. Just set the two equations equal to each-other.

\[2x-1 = 4x-5 \]

then solve for x

Answer 3

Ok, but how do I find the slope and y intercept. would I use y=mx+b?

Answer 4

well first solve this for x

Answer 5

I got x=2

Answer 6

correct.

So plug this x value back into the equation to find the y value.

Answer 7

y=3

Answer 8

so (2,3)

Answer 9

so at (2,3) that's where the two equations will intersect

Answer 10

okay

Answer 11

so for part a. is just graphing.

2x-1
4x-5

are already in slope intercept form.

to graph these two functions, you would insert x values into each one and create a table..


For example

2x-1

x y
0 -1
1 1
2 3

you would do the same for

4x-5



after you've made the tables, then you would graph both equations on the coordinate grid.

Answer 12

okay thanks