Answer:
Step-by-step explanation:
The point-slope form of an equation of a line:
m - slope
We have the slope 
and the point 
.
Substitute:
- point-slope form
Convert to the slope-intercept form (y = mx + b):
<em> use the distributive property</em>
<em>add 4 to both sides</em>
- slope-intercept form
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The result is given by means of some algebraic handling:
- Multiplication of rationals.
- Dividing each term by 2.
- Dividing each term by 2.
- Dividing each term by 3.
Answer:
Scale factor, K = -1/4
Step-by-step explanation:
Dilation of any image changes its size and the shape remains same.
The scale factor is the ratio of dilated image to original image.
Dilation rule: (x, y) → (kx, ky), where k is the scale factor.
It means k = x₂/x₁ or y₂/y₁
K = -5/20 = -1/4 or K = -4/16 = -1/4.
<u>The negative value of scale factor (K) indicates dilations with 180 degree rotation of the dilated image.</u>
Hence the scale factor is K = -1/4.
Answer:
≤ − 8
Step-by-step explanation:
-1 ≤ 
-3
4 ×(-1) ≤ 4 × -4×3
-4 × (-1) ≤ -x - 4×3
-4 ≤ -x - 12
x ≤ -12 + 4
x ≤ -8
