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# Matching Linear Equations to x/y Tables

#### Transcript of Matching Linear Equations to x/y Tables

input-output table

to find the points

of a line by isolating

either the x or

y values. The x-values are the input values and the y-values are the output values Example 1: Given the equation y=5x-2, which set of numbers complete the table? X Y 0 1 2 3 4 1.) Form the equation into slope-intercept form by moving x and y 2.) Substitute x for the domain like before and then solve for y. (However, then you would have to isolate y every time.) Example 2: X Y 0 1 2 3 4 8 Given the equation x=2y-4 which set of numbers complete the table? Step 1: Choose a method. By choosing the option of forming the equation into slope-intercept form, you would move x and y to the other side of the equation. Step 2: Isolate Y.

x=2y-4

-y -y

x-y=2-4

-x -x

-y=-2-x

/-1 /-1

y=x+2 4 Step 3: Substitute x for 0, 1, 3, 4 Since the other two examples were filling in a table (and for lack of space and laziness on my part), this example will be matching the equation to the table. Example 3: Given a table, what is the linear equation? x y 1 2 4 6 8 10 -1 1 5 9 13 17 Step 1: Find slope.

Slope formula is (y2-y1)/(x2-x1).

Use two points and substitute their y and x.

(1,-1) (2,1)

(1--1)/(2-1)= (1+1)/(2-1)= 2/1= 2

m=2 0 -3 Step 2: Find y-intercept.

(o,-3)

b=-3 Step 3: Make the linear equation

y=mx+b

y=2x+-3

y=2x-3 Note: on multiple choice, you will be given a list of equations and can substitute ALL of the x and y values until one does not work or they ALL work. Step 1: Substitute the domain values into the equation.

y=5x-2

y=5(2)-2

y=10-2

y=8 Step 2: Find all other y values.

{-2, 3, 8, 13, 18} Step 3: Fill in the table.