Use a graph to find x and y values that make both y=-2/3x+3 and y=2x-5 true. Write the coordinate in the table below.
3,1
yea but how did you get it
um no ugh!! so hard and confusing
i dont now
To find the values of x and y that satisfy both equations, we can graph them. Here's how you can do it step by step:
Step 1: Start by rewriting both equations in the slope-intercept form (y = mx + b), where m is the slope, and b is the y-intercept. The equations are:
- y = (-2/3)x + 3
- y = 2x - 5
Step 2: Plot the y-intercept of each equation on the graph. For the first equation, the y-intercept is 3, so plot the point (0, 3). For the second equation, the y-intercept is -5, so plot the point (0, -5).
Step 3: Determine the slope for each equation. The slope of the first equation is -2/3, and the slope of the second equation is 2. From each y-intercept, use the slope to find an additional point on each line.
- For the first equation: From the point (0, 3), move 3 units down (since the slope is negative) and 2 units to the right (since the slope -2/3 means "rise -2 and run 3"). Plot this new point.
- For the second equation: From the point (0, -5), move 2 units up (since the slope is positive) and 1 unit to the right (since the slope 2 means "rise 2 and run 1"). Plot this new point.
Step 4: Connect the two points for each equation using straight lines. These lines represent the equations on the graph.
Step 5: The point where the lines intersect is the solution to both equations. Identify the coordinates of this point, and write them in the table provided.
I apologize for the limitations of this text-based response, which does not allow for the inclusion of a graphical representation. However, by following the steps outlined above, you should be able to graph the lines and find the coordinates of the intersection point.
its 18
so, did you use a graph?
what did you get?