# Math

Part 1: When writing linear equations, how do you determine which form of a line to use?

Part 2: Choose 1 set of points from the choices below. Then, solve the problem and post your solution, showing your steps.
Write an equation in point-slope form for the line that passes through one of the following pairs of points (you may choose the pair you want to work with). Then, use the same set of points to write the equation in standard form and again in slope-intercept form.

Point pairs
(5, 1), (–3, 4)
(0, –2), (3, 2)
(–2, –1), (1, 2)

1. It does not matter to me what form.
However if they give me two points like
(5, 1), (–3, 4)
, I am likely to do the following:
(y-1)/(x-5) = (4-1)/(-3-5)
(y-1)/(x-5) = (3)/(-8)
-8(y-1) = 3 (x-5)
-8y + 8 = 3 x -15
-8 y = 3 x -23
y = -(3/8) x + 23/8
which is in slope intercept form
but I could have done this:
m = (4-1)/(-3-5) = -3/8
so y = -(3/8) x + b
1 = -(3/8)5 + b
1 = -15/8 + b
b = 8/8+15/8 = 23/8
so
y = -(3/8) x + 23/8
which is remarkably similar to what I got the first way.
of course I could write that as
8 y = -3 x + 23
or
3 x + 8 y = 23
or whatever

posted by Damon

## Similar Questions

1. ### Math-Algebra 1

Part 1: When writing linear equations, how do you determine which form of a line to use? Part 2: Choose 1 set of points from the choices below. Then, solve the problem and post your solution, showing your steps. Write an equation
2. ### Algebra

when writing linear equations, how do you determine which form of a line to use? choose 1 set of points from the choices below. then, solve the problem and post your solution, showing your steps. write an equation in point-slope
3. ### Math

PLEASE CHACK MY ANSWER!!! Discussion for Applications of Linear Systems When solving a system of equations, how do you determine which method to use? My answer: I determine which method to use by looking at the equations. If both
4. ### algebra

Part A: Graph the system of linear equations. Part B: Use the graph created in Part A to determine the solution to the system. Part C: Algebraically verify the solution from a Part B x + 6y = 6 y = 1/3x - 2
5. ### math

Consider the pair of linear equations below. 4x+6y=12 2x+3y=6 Part A: What is the relationship, if any, between 12 and 6? Part B: Do the two equations have one solution, no solution, or infinitely many solution? Explain. Part C:
6. ### Math-Help

Consider the pair of linear equations below. 4x+6y=12 2x+3y=6 Part A: What is the relationship, if any, between 12 and 6? Part B: Do the two equations have one solution, no solution, or infinitely many solution? Explain. Part C:
7. ### Physics

Analyze the flight of a projectile moving under the influence of gravity (mg) and linear, i.e., laminar- flow drag (fD = bv, with b > 0 constant). Neglect \Phase I"; assume the projectile is launched from the origin at speed v1
8. ### algebra

Task 2: Non-Linear System of Equations Create a system of equations that includes one linear equation and one quadratic equation. Part 1: Show all work to solving your system of equations algebraically. Part 2: Graph your system
9. ### math

Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a). Part 1. Show all work using long division to divide your polynomial by the binomial. Part 2. Show all work to evaluate f(a) using the
10. ### Calc.

I am so confused with this last part of the unit! What in the world is going on: Use normal vectors to determine the interaction, if any, for each of the following pairs of planes. Give a geometric interpretation in each case and

More Similar Questions