How do you find Y in this equation? I am officially stumped!!!

Question

A line has a slope of 5. It passes through points (1,4) and (6,y). What is the value of y?

 

 

 

Answer 1

Dear Cyana,

 

     Hello, here is a 3rd way of getting the answer to "Y."

 

Let  (1,4) be (X_{1 ,} Y₁).    Let (6,y)  be (X₂ ,Y₂) .   Given:  m=5             (1,4)  and (6,y)

 

 

You can use the point slope form, which is  Y₂-Y₁= m (X₂-X₁).   Just use (X1,Y1) for substitution.

 

 

                                                                  Y- (4) =  5 (X-1)   Simplify equation. 

 

                                                                 

                                                                  y-4= 5X-5            Distributive Property

 

                                                                 

                                                                   Y-4+4  = 5X -5 +4   Add +4 to both sides of equation.

                                                       

                                                                  

                                                                   Y=  5X - 1      Substitute values (6,y) for (X2, Y2).

 

                                                                 

                                                                     Y= 5(6)-1    y=30-1=29        Answer  y=29

 

     I hope that this example helps you.

                                                   

                                                                            Thank you,

                                                                             Susan C.

                                                                  

                                                                 

 

                                       

Answer 2

Given two points on a line, (x₁,y₁) and (x₂,y₂), the formula for the slope is:

 

m = (y₂-y₁)/(x₂-x₁)

 

Your two points are (1,4) and (6,y) and the slope is 5:

 

5 = (y-4)/(6-1)

5 = (y-4)/(5)

25 = y-4

 

Solve for y.