The second one from the top shows a dilatation.
Answer:
B; (2,-4)
Step-by-step explanation:
The general equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
So from the question, when we look at the given equation, its slope is -1/2
mathematically, when two lines are perpendicular, the product of their slopes is -1
thus;
m1 * m2 = -1
m2 * -1/2 = -1
-m2 = -2
m2 = 2
The general equation form is;
y-y1 = m(x-x1)
where (x1,y1) = (4,0)
y-0 = 2(x-4)
y = 2x - 8
So, now we look at the point that will work for this equation
For the line that will work, if we substitute its x-value, we get the y-value
Let us take a look at option B
y = 2(2) -8 = 4-8 = -4
we can see that (2,-4) works
Answer: B, the are parallel but not equal. They are parallel line because they move in the same direction and they are not equal because they have different magnitude.
Remember that the slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
so...
m = 0
b = -2
^^^Plug these numbers into formula
y = 0*x - 2
y = 0 - 2
y = -2
Hope this helped!
~Just a girl in love with Shawn Mendes