algebra

how would i find an equation of a line that goes through points(1,6) and (3,10)??
thanks

A straight line is
y=mx+b
Substitute the points to make two equations.
6=m(1)+b
10=m(3)+b
Two equations; two unknowns, m and b.
Solve for m and b, then plug back into y = mx + b. That will the the equation for the straight line.


i don't understand?

You know how to solve two equations simultaneously. There are two unknowns, m and b. Solve them for m and b, list the values here and I will show you how to construct the equation for the line. Here are the two equations from above.
eqn 1: 6=m(1)+b
eqn 2: 10=m(3)+b

To start you in the right directin, here is what you do to solve the equations.
1. Multiply eqn 1 by -1
2. Add the result + eqn 2.
3. That will eliminate b. solve for m.
4. Plug m back into either equation and solve for b.
5. Post values for m and b and I shall show you how to write the equation for the line that passes through those points.


P=H-F/2H TO SOLVE FOR H

  1. 👍 0
  2. 👎 0
  3. 👁 90

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    Q2.Plot three points with second coordinate equal yo (1.3) and join them . Q3.What is the slope of the line y= -1/3x +3 (B)Does it slope upwards? (C) It is steeper than the line y=-1/2x -5? Give reason for your answer. Q4.The

    asked by athanasia on March 16, 2015
  2. Math 116

    1.Write an equation of the line containing the given points and parallel to the given line (3,8); x+5y=3 2. Write an equation of the line containing the given points and parallel to the given line (-3,6); 5x=9y+2 3. Write an

    asked by Keisha on July 13, 2011
  3. Math 116

    1.Write an equation of the line containing the given points and parallel to the given line (3,8); x+5y=3 2. Write an equation of the line containing the given points and parallel to the given line (-3,6); 5x=9y+2 3. Write an

    asked by Keisha on July 13, 2011
  4. math

    Use the following table to answer the questions. (Give your answers correct to two decimal places.) x 1 1 3 3 5 5 7 7 9 9 y 3 2 6 1 3 3 3 2 5 3 (a) Find the equation of the line of best fit. yhat = + x (ii) Graph this equation on

    asked by Sue 12 on May 30, 2013
  5. Statistic help

    Use the following table to answer the questions. (Give your answers correct to two decimal places.) x 1 1 3 3 5 5 7 7 9 9 y 3 2 6 1 3 3 3 2 5 3 (a) Find the equation of the line of best fit. y hat = + x (ii) Graph this equation on

    asked by Tracy on June 26, 2013
  6. Maths

    Hi, need a bit of help on this one. A straight line passes through the points (4,3) and (10,0), I need to write down the equation of the line in the form y=mx+c, I have tried but I cant seem to get the second coordinates to

    asked by Del on July 9, 2010
  7. math 118

    a. Suppose a market research company finds that at a price of p = $6., they would sell x = 44 tiles each month. If they lower the price to p = $2, then more people would purchase the tile, and they can expect to sell x = 48 tiles

    asked by jer on February 4, 2012
  8. Math -Quadratics Help!

    I have a test tomorrow with a few sample questions that are expected to be on the test that I do not know how to properly do. 1)Find the slope intercept equation of the line passing through the intersection of the lines 2x-4y=1 &

    asked by JBregz on March 23, 2014
  9. Math - Quadratics & Analytical Geometry

    I have a test tomorrow with a few sample questions that are expected to be on the test that I do not know how to properly do. 1)Find the slope intercept equation of the line passing through the intersection of the lines 2x-4y=1 &

    asked by Jay on March 23, 2014
  10. Algebra

    graph the equation x-3=y (where do I plot the points?) find the intercepts and then graph: 5x+4y=20 find the intercepts and then graph: 1.4x-1.3y=3.64 graph the equation using slope and y-intercept: y=10/7x +4 graph using slope

    asked by Jacquie on July 18, 2010
  11. math

    i have more than one question so if u no any of the answers please tell me 1.) write the point-slope form of the equation of the line with slope -2 passing through the point ( -5, -9). 2.) write the point-slope form of an equation

    asked by becca on May 17, 2010

More Similar Questions