Determine the slope and y-intercept of a line that passes through the points (-2, 6) and (4, -3).

Step-by-step explanation:

Step 1 - Calculate slope first via the equation:

Where x1 and y1 are the coordinates of the first set whereas x2 and y2 are the second set. Plug the variables in:

Which simplifies to:

Now, in the line equation form we know x:

y = mx + c

y = x + c

Step 2 - Calculate y intercept

Plug the variables of one point into the above equation:

y = x + c

Meaning that the full line equation is:

Hope this helps!