Question

Use a graph to find x and y values that make both y=-2/3+3 and y=2x-5 true

Answer 1

Answer: (3,1)

Plot the y intercept and slope =) it’s also shown in the picture

Answer 2

Here are the steps to solve this system of equations graphically:

1. Plot the first equation y=-2/3+3. This is a horizontal line with y-intercept 3.
2. Plot the second equation y=2x-5. This is a sloped line with y-intercept -5.
3. Find the intersection point(s) of the two lines. This is where the lines cross and represent the (x,y) values that satisfy both equations.
4. In this case, the lines intersect at (3,1). So, x=3 and y=1 make both equations true.

The graph would look like this:

[A graph shows the two lines intersecting at (3, 1)]

Does this help explain the graphical solution? Let me know if you have any other questions!