Given m = -6/5 and the point (6, 5), which of the following is the point-slope form of the equation?

y - 5 = -6/5(x - 6)

y - 5 = 6/5(x + 6)

y - 6 = 6/5(x - 5)

y + 6 = 6/5(x + 5)

Option is the point-slope form for the given point.

Step-by-step explanation:

Step 1:

As we have the slope, m and a coordinate we can use the point-slope form to find the equation.

m = and the coordinate is (6, 5) assume this to be ().

The point-slope form is .

Step 2:

For the given point, and and m = .

Substituting these values in the equation, we get

becomes .

This is the first option that is given.

step-by-step explanation:

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !