a line through (4.2) with slope 1/2

Question

what is a line through (4.2) with slope 1/2

 

Answer 1

use the point slope formula to solve this problem

y-y₁ = m(x-x₁₎

X₁ and y₁ are your given point (4,2)

m is the slope

 

y - 2 = 1/2(x-4)

distribute the 1/2

 

y -2 = 1/2x -2

add 2 to both sides

 

y = 1/2(x)

Answer 2

Hello Nevaeh,

 

I believe you meant the point is (4,2) rather than (4.2) so I'm going to proceed that way.

 

You have a point and a slope so the point-slope form of an equation of a line is the best way to proceed.

 

y-y₁ = m(x-x₁)  

m is the slope = 1/2

(x₁,y₁) = (4,2)

 

and we have

y-2 = (1/2) (x-4)

y-2 = x/2 - 2

y = x/2