Passing through (4,8) and (8,16)

Question

Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope form of the equation to write the slope intercept from the equation.

 

Type the point-slope form of the equation of the line._____

Passing through (4,8) and (8,16)

(Simplify your answer. Use integers or fraction for any number in the equation)

Answer 1

The point-slope  form of the line is

 

(y - y₁) = m(x - x₁)

 

where:

 

(x₁, y₁) is any of the given points.

 

First we need to find the slope between these two points.

 

m = (16 - 8) / (8 - 4)

 

m = 8 / 4

 

m = 2

 

 

Now, plug the value of m into the point-slope using the coordinates (4,8).

 

y - 8 = 2(x - 4)

 

y = 2(x - 4) + 8

 

y = 2x - 8 + 8

 

y = 2x