<h2>3</h2>
Step-by-step explanation:
The equation of line passing through the two points is 
When substituted,the equation becomes 
which when simplified is 
The line clearly passes through origin.
The distance between two points is 
Distance between origin and 
is 
.
Distance between origin and 
is 
Scale factor is 
So,scale factor is 
which when simplified becomes 3.
Answer:
(-1/3, 3/4)
Step-by-step explanation:
9x + 8y = 3
6x - 12y = -11
Let's solve the system by eliminating x. We need the coefficients of x to be additive inverses, so they will add to zero eliminating x. The LCM of 9 and 6 is 18. Let's multiply both sides of the first by 2 and both sides of the second equation by -3.
18x + 16y = 6
-18x + 36y = 33
The coefficients of x are 18 and -18, which add to zero. Now we add these two equations.
52y = 39
y = 39/52
y = 3/4
Now we substitute y with 3/4 in the first equation and solve for x.
9x + 8y = 3
9x + 8(3/4) = 3
9x + 6 = 3
9x = -3
x = -3/9
x = -1/3
Solution: (-1/3, 3/4)
Answer:
y = x/2 + 5
Step-by-step explanation:
y = x/2 + 5
⇒ y = (1/2)x + 5
which satisfies the linear equation y = mx + b
where m is the slope and b is the y-intercept
