Answer:
2z-6
Step-by-step explanation:
2(z-3)
2(z)-2(3)=2z-6
1. Rotation by 180° (clockwise or anti-clockwise) about the origin has a rule:
(x,y)→(-x,-y).
Then
(-4,-10)→(4,10).
2. Translation 1 unit to the right has a rule:
(x,y)→(x+1,y).
Then
(4,10)→(5,10).
3. After rotation and translation the image of point (-4,-10) is point (5,10).
Answer: (5,10).
Answer:
x-int = 18
y-int = -9/2
Step-by-step explanation:
Use slope-intercept form y=mx + b
To find the slope, substitute the two points into the slope formula and solve.

Substitute a random point (2,-4) and m=1/4 into slope-intercept form
y = mx+b
-4 = 1/4 (2) + b
-4 = 2/4 + b
-4 = 1/2 + b
Isolate b to solve
b = -4 - 1/2
b = -8/2 - 1/2
b = -9/2 <= this is the y-intercept
b is the y-intercept in slope-intercept form
Substitute b= -9/2 and m=1/4 to get the equation of the line.
y = 1/4 x - 9/2
Substitute y for 0 to find the x intercept
y = 1/4 x - 9/2
0 = 1/4 x - 9/2
9/2 = 1/4 x
x = (9/2) / (1/4)
x = (9/2) X (4/1)
x = 36/2
x = 18