Answer:
<u>m</u><u> </u><u>is</u><u> </u><u>-</u><u>2</u><u> </u><u>and</u><u> </u><u>c</u><u> </u><u>is</u><u> </u><u>-</u><u>1</u>
Step-by-step explanation:
• Let's first phrase out the general equation of a line

- m is the slope
- c is the y-intercept
[ remember that a general line equation must be in slope - intercept form as shown above ]
• from our question, we are given the equation;

• let's make y the subject in order to make the equation in slope - intercept format.
→ <em>r</em><em>e</em><em>m</em><em>e</em><em>m</em><em>b</em><em>e</em><em>r</em><em> </em><em>t</em><em>o</em><em> </em><em>a</em><em>p</em><em>p</em><em>l</em><em>y</em><em> </em><em>"</em><em>s</em><em>u</em><em>b</em><em>j</em><em>e</em><em>c</em><em>t</em><em> </em><em>m</em><em>a</em><em>k</em><em>i</em><em>n</em><em>g</em><em> </em><em>k</em><em>n</em><em>o</em><em>w</em><em>l</em><em>e</em><em>d</em><em>g</em><em>e</em><em>"</em>

• The above boxed equation is now a general equation. Let's extract out slope, m and y-intercept, c

6 + (-3) would be the same as just saying 6-3 which would be equal to positive 3
N = d - 5
2n/(d + 16) = n/d - 1/3 n/d
2n/(d + 16) = 2/3 n/d Divide by 2n
1 / (d + 16) = 1/3 d
Here's the tricky part.
d + 16 = 3d the two denominators are equal. the numerators are both 1.
16 = 2d
d = 8
so the numerator is d - 5
n = 8 - 5
n = 3
Let's see if it checks out.
n = 3
d = 8
2*3 = 6
8 + 16 = 24
New fraction 6/24 = 1/4
(3/8 - 1/3 ) = 1/8
3/8 - 1/8 = 1/4 so it checks with the original conditions put on it.
Answer: The blue figure is translated 5 units left and 2 units down. It could also be said as: The Blue figure is translated -5 units on the x-axis and -2 units on the y-axis.
Step-by-step explanation:
All you have to do is a pick one of the points on the red figure and count exactly how many dots the blue figure moved left, and how many dots it moved down.