# 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 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)

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.....

1. 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 ---- > slope-y intercept form

point-slope 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 = (4-1)/(-3-5) = 3/-8 or -3/8

using (5,1)
y-1 = (-3/8)(x-5) 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(x-5)
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

posted by Reiny
2. 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

posted by Gabby
3. Thats all I rlly needed, thx~!

posted by Gabby

First Name

## Similar Questions

1. ### 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
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. ### 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 point-slope form for the line that passes through one of the following pairs of points (you
4. ### 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
5. ### Algebra1 Word Problem HELP#2

Part A: Explain why the x-coordinates 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 =
6. ### 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
7. ### 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:
8. ### 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:
9. ### Algebra

Given a line containing the points(1,4), (2,7) and (3,10) determine that slope-intercept form of the equation, provide one additional point on this line, and graph the funtion. Start by putting the first point into point-slope
10. ### algebra 1

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of the equation 4x = 2x−2. Part B: Make tables to find the solution to 4x = 2x−2. Take the

More Similar Questions