1.Can you show that, given two equations y = m1x + c1 and y = m2x + c2 where c1 and c2 are different, there is no solution if m1 = m2. Interpret this result graphically. Also show that if c1 = c2 then there will be at least one solution no matter what m1 and m2 are. Interpret this result on a graph.

2.In your reading you have come across two other methods to solve systems of equations aside from the graphing method. Explain these two methods. Provide examples using a system of linear equations of your choice. State your preference of these two methods.

3.Explain in your own words your understanding of the concept of slope as it relates to graphs of linear equations. Illustrate with examples. Also include in your explanation the use of slopes to determine parallel and perpendicular lines.

Solution Summary

This discusses methods of solving systems of equations and graphing.

Find the slopeand y-intercept of the line represented by each of the following equations.
See attached file for full problem description.
Find the slopeand y-intercept of the line represented by each of the following equations.
12.
Or 3Y = 2X - 6
Or Y = (2/3) X - 2
Slope = 2/3
y-intercept = -2
Write the eq

1. Graph line with equation y=-4x-2.
2. 2x=8y=17=0
3. Graph the line with slope -2 passing through the point (-3,4).
4. Find slope of the line graphed (-44, 28) (9, -12).
5. x=9 graph the line
6. 6x-9y+7=0.
7. 2x=5y+3
8. Write an equation of line (0, -4).
9. A line passes through the point (6, -6

Write equation in slope-intercept form: y+3= -3(x-6)
Find equation of line that goes through the given point and has given slope. Answer in slope intercept form: (-1,-5), -8
Find equation of line. write answer in slope intercept form.
"The line is parallel to -3x + 2y=9 and contains the point (-2,1)
Find the equ

Hello,
I am in a fast-paced Calculus course where I must learn new concepts each week; I find it challenging to grasp the concepts while remaining on-pace and I am experiencing great difficulty. I am really finding it difficult to grasp the concept of Parametric & Rectangular Equations, Slope & Concavity, and Tangent Lines.

Please help with the following problems. Provide step by step calculations.
Find the slope of each line that has a slope
x=5y
Find an equation in the form y=ms +b (where possible) for each line.
Through (3,-5) parallel to y= 4
Graph each linear equation defined as follows;
3x - 5y =15
Solve each system of equat

Determine if the given ordered pair is a solution to the equation:
4. -3x + y = -2 (0,2)
6. 2x - y = -3 (-2, -1)
Find the specified values:
8. 6x - 3y = 12 x-intercept & y-intercept
10. 4x - 2y = 6 slope & y-intercept
Re-write the equations in the specified form:
12. y = 2x -3 write in standard form

PLEASE SEE ATTACHED FILE FOR FULLY FORMATTED QUESTIONS
1. Find the slope of the line.
ANSWER:
2. Find the slope of the line that goes through the pair of points: (2, 5), (6, 10).
3. Graph the line through (2, 3) with slope .
4. Draw L1 through (-2, 1) with slope , and draw L2 through (-2, 1) with sl

HELLO I NEED HELP WITH SOLVING THESE 17 MATH PROBLEMS
1. SLOPE 4.2 AND Y INTERCEPT (0,-5)
THE SLOPE INTERCEPT EQUATION Y
2. X+9=Y
Y-X=-5
WHAT IS THE SLOPE OF THE LINE X-9=Y AND Y-X=-5
3. M=0,(0,9)
THE EQUATION OF THE LINE IS Y
5.GIVE THE FUNCTION H DESCRIBED BY h(x)=x+13 find the following
h(0)=
h(-14)=
h(-1

1. Write an equation of the line that passes through (0, -4) and is parallel y = (3/4)x + 2. Write the answer in slope-intercept form.
2. Solve the system of equations by substitution:
x + 2y = 9
3x - y = 13
3. Solve the system of equations by substitution:
4x - 3y = 1
12x - 9y = 3