Algebra House
  • Ask a Question
    • Answered Questions
  • Examples
  • State Test Practice
    • Algebra 1 State Test Practice
    • Geometry State Test Practice
  • ACT and SAT
  • Calculators
    • Problem Solver
    • Graphing Calculator
    • 3D Graphing Calculator
  • Contact
    • Contact Algebra House
    • Leave a Tip


​
​Answered Questions

Find the equation of the linear function represented by the table

2/18/2021

0 Comments

 
Find the equation of the linear function represented by the table below in slope-intercept form.
(x, y)
(-4,-12)
(1,-2)
(6, 8)
(11, 18)

Find the slope of the line using any two points.

change in y
——————— = slope
change in x


18 - 8
———- = slope
11 - 6

10/5 = slope

slope = 2

Substitute the slope in, with one point, into slope-intercept form, in order to find the y-intercept.

Slope-intercept form is y = mx + b
m is the slope
b is the y-intercept


Substitute the slope, 2, in for m, and the coordinates of one point in for x and y.

y = mx + b {slope-intercept form}

(1,-2) is a point and 2 is the slope
-2 = 2(1) + b {substituted into slope-intercept form}
-2 = 2 + b {multiplied 2 by 1}
b = -4 {subtracted 2 from each side}

Substitute the slope, 2, and the y-intercept, -4, back into slope-intercept form.

y = 2x - 4 is the equation of the line

Ask the House


0 Comments

Your comment will be posted after it is approved.


Leave a Reply.


    Ask a Question
    Picture

    Archives

    May 2022
    April 2022
    March 2022
    February 2022
    January 2022
    December 2021
    November 2021
    October 2021
    September 2021
    August 2021
    July 2021
    June 2021
    May 2021
    April 2021
    March 2021
    February 2021
    January 2021
    December 2020
    November 2020
    October 2020
    September 2020
    August 2020

In case you missed it:
Search algebrahouse.com:
Go Home
​​Ask a Question
Answered Questions
Algebra Examples
State Test Practice

ACT and SAT Practice​
Notes Archive
​Problem Solver
Graphing Calculator
3D Graphing Calculator
Speak with the Manager
​Leave a Tip
  • Ask a Question
    • Answered Questions
  • Examples
  • State Test Practice
    • Algebra 1 State Test Practice
    • Geometry State Test Practice
  • ACT and SAT
  • Calculators
    • Problem Solver
    • Graphing Calculator
    • 3D Graphing Calculator
  • Contact
    • Contact Algebra House
    • Leave a Tip