Mat101 case 3 | Mathematics homework help

 

MAT101 Case 3 Answer Template

 

 

 

Name:                        

 

Date:                           

 

Instructor:                      

 

 

 

Use this template to insert your answers for the assignment.  Please use one of the four methods for showing your work (EE, Math Type, ALT keys, or neatly typed).  Remember that your work should be clear and legible.  

 

 

 

Slope:  m= change in y = y2-y1

 

                            change in x     x2-x1

 

 

 

Slope-intercept form:  y=mx+b

 

 

 

Point-slope form:  y-y1=m(x-x1)

 

 

 

Standard form:  Ax+By=C; where A is a positive value

 

 

 

Find the slope of the points.  Reduce to lowest terms.

 

1.  (0, -2) (4, 6)

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

2.  (7, 3) (9, 3)

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

 

 

 

 

 

 

 

 

3.  (5, 2) (1, 5)

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

4.  (12, 4) (12, 6)

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

 

 

Identify the slope and y-intercept in the following equations.

 

 

 

5. 2x+3y=8

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­slope=_________y-intercept=_________ 

 

 

 

6. 6x=y+1

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­slope=_________y-intercept=_________ 

 

 

 

 

 

7.  Write an equation of a vertical line passing through the point (6, 3).

 

 

 

Answer: ­­­­_______________ 

 

 

 

8.  Write an equation of a horizontal line passing through the point (2, 8).

 

 

 

Answer: ­­­­_______________ 

 

 

 

9.  Write an equation of a line in slope-intercept form with a slope of -4 and passing through the point (0, -3).

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

10.  Write an equation of a line in slope-intercept form with a slope of  and passing through the point (0, 6).

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

11.  Write an equation of a line in point-slope form with a slope of  and passing through the point (1, -5).

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

12.  Write an equation of a line in standard form with a slope of  and passing through the point (-10, 2).

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

13.  Write an equation of a line passing through the points (-2, -1) and (0, 4).  Write the final answer in slope-intercept form. 

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

14.  Write an equation of a line passing through the points (-3, 6) and (-5, 3).  Write the final answer in slope-intercept form. 

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

Graph the following equations and inequalities on a coordinate plane, shading the solution set where necessary.

 

Go to ‘insert’ and ‘shapes’.  Choose the circles for the points and the lines to connect the dots.  Use the arrows to represent the shading.

 

 

 

For example:

 

 

 

 

 

 

 

 

 

 

 

 

15.  y= 4x-2

 

Calculations:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

16.  2x+5y=10

 

Calculations:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

17.  x=3 and y=6

 

Calculations:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

18.  3x+5y ≤ 15

 

Calculations:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

19.  y < -2x-3

 

Calculations:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

20.  x > 4 and y ≤ -1

 

Calculations:

 

 

 

 

 

 

 

 

 

 

 

 

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