# Math Help - [SOLVED] Help with 3 assignments that are late!

1. ## [SOLVED] Help with 3 assignments that are late!

Write the slope-intercept form of the equation passing through the points (-3, 4) and
(3, 6).

Show all your steps in a Word document, save the document and attach it in the dropbox.

Go left –3 , up4 .. put a dot

Go up 3 , go right 6 , put a dot

Slide them across equal to eachother.

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Is the blue line part of the solution set?

Is the red line part of the solution set?

How would you describe the solution to the above system of linear inequalities?
• The overlapping area of red and blue shading
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Given the following sets of systems of equations, choose the one that you would want to solve using substitution. Write one sentence explaining why you would use substitution to solve this problem.

A. 3x + 3y = 18
4x – 3y = 0

B. 5x + 3y = 3
X + 9y = 2

C. 3x -4y = -1
9x + 12y = 15

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Name all pairs of vertical angles:

Name all pairs of corresponding angles:

Name all pairs of alternate interior angles:

2. since this is a graded assignment to be handed in, i will not do the problem for you. i will rather give you the method, or hints on how to solve the problems.

Originally Posted by JetPack360
Write the slope-intercept form of the equation passing through the points (-3, 4) and
(3, 6).

you may want to search the forum for something like "equation of a line," there are many problems of this nature that has been done here.

the slope intercept form of a line is: $y = mx + b$ where $m$ is the slope, and $b$ is the y-intercept

here's how to get that equation given two points on a line.

we first find the slope:

recall that the slope is rise over run, that is, change in y divided by the change in x. so given two points on a line, $(x_1,y_1)$ and $(x_2,y_2)$, we find the slope, m, as follows:

$m = \frac {y_2 - y_1}{x_2 - x_1}$

we then use the point-slope form:

use either of the points given and the slope you found, and plug them into the slope-intercept form shown below:

$y - y_1 = m(x - x_1)$

where $(x_1,y_1)$ is the point you used, and m is the slope

finally, solve for y:

solving for y in the above form and simplifying will give you the slope-intercept form of the equation of the line

3. Originally Posted by JetPack360

Is the blue line part of the solution set?

Is the red line part of the solution set?
we draw a line broken if it is not in the solution set of an inequality

How would you describe the solution to the above system of linear inequalities?
• The overlapping area of red and blue shading
the red area defines the solution set of one of the inequalities in the system. the blue area is the solution set for the other. where they overlap is the solution set to the system, that is, both inequalities are satisfied at the same time. anywhere that is not shaded is, of course, not in the solution set of either inequality. BEWARE OF THE BOUNDARIES. bold and broken lines make a difference

4. Originally Posted by JetPack360
Given the following sets of systems of equations, choose the one that you would want to solve using substitution. Write one sentence explaining why you would use substitution to solve this problem.

A. 3x + 3y = 18
4x – 3y = 0

B. 5x + 3y = 3
X + 9y = 2

C. 3x -4y = -1
9x + 12y = 15

you want to use the substitution method if it is easy to solve for one variable in terms of the other in one of the equations. which system above meets that requirement?

5. Originally Posted by JetPack360

Name all pairs of vertical angles:

Name all pairs of corresponding angles:

Name all pairs of alternate interior angles:
see here