MathAlgebra 1
posted by Gabby .
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 pointslope 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 slopeintercept form.
Point pairs
(5, 1), (–3, 4)
(0, –2), (3, 2)
(–2, –1), (1, 2)
Part 3: View and comment on the work of at least 2 other students. If possible, choose students' whose work is based on different sets of points from the ones you chose.
I need help from Steve and or Reiny, I've done work similar to this but not this.....

MathAlgebra 1 
Reiny
Different texts use slightly different names for the form of the linear equation.
e.g
4x + 3y 12 = 0 > I would call general form
4x + 3y = 12 > standard form
y = (4/3)x + 4  > slopey intercept form
pointslope form is a starting equation, usually ending up with one of the above.
Which ever method you use, finding the slope is a good start.
I will do the first one:
2 points (5,1) and (3,4)
slope = (41)/(35) = 3/8 or 3/8
using (5,1)
y1 = (3/8)(x5) from y  y1 = m(x  x1)
at this point multiply each side by the denominator of the slope, if the slope is a fraction
8y  8 = 3(x5)
your fractions have disappeared, yeahhh!
8y  8 = 3x + 15
3x + 8y = 23
at this stage I use the point that was not used and test if it satisfies my equation.
for (3,4)
LS = 3(3) + 8(4) = 9+32 = 23
RS = 23 , all is good!
Once you have the equation is the simple form of
3x + 8y = 23, you can go to any of the others
changing it to slope  y intercept form takes 2 steps
1. keep only the y term on the left side
3x + 8y = 23 > 8y = 3x + 23
2. divide each term by the coeffiecient of the y term
> y = (3/8)x) + 23/8
try the other two, let me know what you get 
MathAlgebra 1 
Gabby
Part 2:
The point pairs chosen is (5, 1) and (3, 4). First of all, the slope must be found out.
The formula for it is: slope = rise/run
slope = (4  1)/(3 5) = 3/8 = 3/8
Point slope form: y  1 = 3 (x  5)/8
Slope intercept form: y  1 = 3x/8 + 15/8
y = 3x/8 + 23/8
Standard form: 8y = 3x + 23 
MathAlgebra 1 
Gabby
Thats all I rlly needed, thx~!
Respond to this Question
Similar Questions

math
determine the equation of the line in y=mx+b form that passes through 1. (8,1) & (9, 2) 2. (3,7) & (5, 9) 3, (4,0) & (4,6) Part B ) For each equation Rewreite the y=mx+b equation in general form Ax+by+c=0 where A is positive b … 
Differential Equations
a) Sketch the phase line for the differential equation dy/dt=1/((y2)(y+1)) and discuss the behavior of the solution with initial condition y(0)=1/2 b) Apply analytic techniques to the initialvalue problem dy/dt=1/((y2)(y+1))), y(0)=1/2 … 
Differental Equations
a) Sketch the phase line for the differential equation dy/dt=1/((y2)(y+1)) and discuss the behavior of the solution with initial condition y(0)=1/2 b) Apply analytic techniques to the initialvalue problem dy/dt=1/((y2)(y+1))), y(0)=1/2 … 
MathHelp
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? 
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? 
Algebra
Choose 1 set of points from the choices below. Then, solve the problem and post your solution, showing your steps. Write an equation in pointslope form for the line that passes through one of the following pairs of points (you may … 
Math
Part 1: When writing linear equations, how do you determine which form of a line to use? 
Algebra
when writing linear equations, how do you determine which form of a line to use? 
Algebra1 Word Problem HELP#2
Part A: Explain why the xcoordinates of the points where the graphs of the equations y = 2^x and y = 4^x−2 intersect are the solutions of the equation 2^x = 4^x−2. (4 points) Part B: Make tables to find the solution to 2^x = 4^x−2. … 
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