how can you tell just by looking at two given equations whether they must have a point of intersection?

the two variables in the equations will have the same value.

Step-by-step explanation:

So for example, if we have two lines that have the following equations (in slope-intercept form):. y = 3x-3. y = 2.3x+4. At the point of intersection, they will both have the same value.

-2/7

Step-by-step explanation:

1. Use the slope equation (y2-y1)/(x2-x1) you take 2 coordinates in the chart and use the second coordinates y output minus the first corrdinates y output and the same for the x inputs and whatever you get is your slope

1. Plug the first two coordinates into the slope formula:

(6-8)/(-7-(-14))

2. Solve:

-2/7!

I hope this helped :)