Use the slope-intercept form to find the slope and y-intercept. The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Find the values of m m and b b using the form y=mx+b y = m x + b . The slope of the line is the value of m m , and the y-intercept is the value of b .
Hello!
To solve, we want to isolate the x on one side of the equation. We can use inverse operations to put numbers on the other side to find x.
First we undistribute our parentheses.
12x-66+15=21
We subtract 15 from both sides (it cancels out the 15 on the left side, making it 0).
12x-66=6
Now we add 66 to both sides, as -66+66=0
12x=72
Finally, we divide both sides by 12.
x=6
I hope this helps!
Answer:
The length of line segment FG is equal to the length of F'G'
The perimeter of pentagon CDEFG is equal to the perimeter of pentagon C'D'E'F'G.
Step-by-step explanation:
Given
CDEFG and C'D'E'F'G
Translation: 7 units up and 5 units left
Solving (a): Segment FG and F'G'
When a shape is translated, the resulting image will have the same lengths as the original image (i.e, translation does not change measurements)
Hence:

Solving (b): Perimeter CDEFG and C'D'EF'G'
In (a), we established that lengths do not change during translation;
Hence:
The perimeter of the CDEFG and C'D'EF'G' will remain the same