Question

WILL MARK BRAINLIEST HELP ASAP!! A caterpillar crawling in a straight line across a coordinate plane starts at point (—3, —4) and ends at point (25, 38). Counting the start point and end point, how many points with integer coordinates does the caterpillar touch?

Answer 1

Answer:

15

Step-by-step explanation:

The slope = $\frac{change in y}{change in x} =\frac{38+4}{25+3} =\frac{42}{28} =\frac{3}{2}$

This means that when the caterpiller moves 2 units to the right, it moves 3 units up.  Since 42/3 = 28/2 = 14. this happens 14 times from (-3, -4) to (25, 28).   Counting the starting point (-3, -4) we get 14 + 1 = 15 points with integer coordinates.