Answered

IDNLearn.com connects you with a community of experts ready to answer your questions. Get step-by-step guidance for all your technical questions from our dedicated community members.

determine a relationship between the x- and y- values. write an equation.
x =1 2 3 4
y = 4 5 6 7

Sagot :

The relationship here between the x and y values can be seen in an equation, y=x+3, since every y value is three more than its corresponding x-value. 
Brookegallagheridn
Step One: Determine two coordinates written as (x,y)
(1,4) (2,5)
Step Two: Use the formula[tex] \frac{y_{2} - y_{1}}{x_{2}-x_{1}} [/tex]
[tex] \frac{5-4}{2-1} [/tex]
Step Three: Simplify to identify the slope
[tex] \frac{1}{1} = 1[/tex]
Step Four: Plug your slope (m) into the equation y=mx+b
y = 1x + b
Step Five: Using a coordinate of your choice, plug x and y in to their respective places. (I'm using (1,4))
4 = 1*1 + b
Step Six: Simplify
[tex]4 = 1 +b[/tex]
Step Seven: Isolate b
[tex]4-1 = 1 + b - 1 \\ 3 = b \\ b = 3[/tex]
Step Eight: Rewrite your equation
y = 1x + 3
OR 
y = x + 3
(It's more likely you'll see it written the second way)
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. IDNLearn.com is your reliable source for accurate answers. Thank you for visiting, and we hope to assist you again.