Given:
The equation of a line is:
The line is dilated by factor 3.
To find:
The result of dilation.
Solution:
The equation of a line is:
For 
,
For 
,
Divide both sides by 2.
The given line passes through the two points A(0,5) and B(2,2).
If the line dilated by factor 3 with origin as center of dilation, then
Using this rule, we get
Similarly,
The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:
Multiply both sides by 2.
Therefore, the equation of the line after the dilation is .
Answer:
The equation of the sraight line 3x- y+ 6 =0
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the gradient of the function
|gradf| = 3 and point (-1,3)
Given that the slope of the line
m = 3
The equation of the straight line passing through the point(-1,3) and slope m =3
y-3 = 3(x-(-1))
y-3 = 3x+3
3x +3-y+3=0
3x- y+ 6 =0
<u><em>Final answer:-</em></u>
The equation of the sraight line 3x- y+ 6 =0
<u><em></em></u>
Answer:
A) f (x) = 
- 3
Step-by-step explanation:
Answer:
below..
Step-by-step explanation:
- slope = (y - y1)/(x-x1) = (6 - 3 )/(1-0) = 3 is the slope/ gradient
- equation of the line = y -3 = 3(x - 0) => y = 3x + 3
