The points a(0,5), b(4,2), and c(0,2) form the vertices of a right triangle in the coordinate plane. what is the equation of the line that forms the hypotenuse?

Equation of line that forms hypotenuse is y = -3/4x + 5 because:

This line passes through points (4,2)
And we know y intercept is +5 because point A lies at (0,5) therefore we need to find ‘m’ which is the gradient (equation of straight line is y=mx+c)
So far we know
y= mx + 5. We also know that y = 2 and x=4 because of the point (4,2), the hypotenuse passes through points (4,2) that’s why it is important to finding the equation.. anyway so, Sub in those values into our pending equation (y=mx+5)

2=m4 + 5. Now simply rearrange it to find M

So; 2-5=m4
-3= m4. Divide both sides by 4
You will get m= -3/4 now sub that back into our first equation (y=mx +5)

Your answer is y = -3/4x+5