What is the distance between points m and h? round to the nearest tenth of a unit. units two points on a coordinate grid. point ms coordinates are negative two, five. point hs coordinates are six, zero.

I graphed the points and I observed that it can form a right triangle. The distance required is the hypotenuse of the right triangle.

long leg is from -2 to 6 value of the x line. Its measure is 8.
short leg is form 0 to 5 value of the y line. Its measure is 5.

We will use the Pythagorean theorem to get the hypotenuse or distance of two points.

a² + b² = c²
8² + 5² = c²
64 + 25 = c²
89 = c²
√89 = √c²
9.43 = c

The distance of the two points, M and H, is 9.43

Let's check your answer. To do this, you would simply plug your answer into the equation and see if it works. 
5(y - 3) - 2 (3 - 2y) = 6
5(3 - 3) - 2(3 - 2 × 3) = 6

The equation works! 

Y = 3

Great work!