Which is an equation in point-slope form for the given point and slope?
Point: (–2, 4); Slope: 5

A. y + 4 = 5x – 10
B. y + 4 = 5(x + 2)
C. y – 4 = 5(x + 2)
D. y – 4 = 5(x – 2)

The answer to your question is the letter C.

Step-by-step explanation:

Data

P (-2 , 4)

m = 5

Process

1.- Write the equation of the line

             y - y1 = m(x - x1)

x1 = - 2         y1 = 4

2.- Substitution

            y - 4 = 5(x + 2)

3.- Simplification

            y - 4 = 5x + 10

- Solve for y

           y = 5x + 10 + 4

           y = 5x + 14       This is the equation of the line in the point-slope form.

step-by-step explanation:

this is not a question

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus