Question

Write an equation of the line that is perpendicular to the line y = 2x + 8, and which passes through the point (6,-2).

Answer 1

Answer:

D. The two triangles are congruent because a translation does not change size and shape.

Step-by-step explanation:

I'm pretty sure that D is the answer. It jut basically moved , didn't change anything.

Answer 2

Answer:

1. The equation of line is $y=-\frac{1}{2}(x)+1$.

2. The correct option is D.

Step-by-step explanation:

1.

The slope intercept form of a line is

$y=mx+b$

Where, m is slope and b is y-intercept.

The given equation of a line is

$y=2x+8$

The slope of line is 2 and y-intercept is 8.

The product of slopes of two perpendicular lines is -1.

$m_1\times m_2=-1$

$2\times m_2=-1$

$m_2=-\frac{1}{2}$

The slope of required line is $-\frac{1}{2}$ and it passes through the point (6,-2).

The equation of required line is

$y-y_1=m(x-x_1)$

$y+2=-\frac{1}{2}(x-6)$

$y+2=-\frac{1}{2}(x)+3$

$y=-\frac{1}{2}(x)+3-2$

$y=-\frac{1}{2}(x)+1$

Therefore the equation of line is $y=-\frac{1}{2}(x)+1$.

2.

Translation is a rigid transformation. It means if a figure translated then the image and preimage are congruent

It the given figure two triangles are congruent because a translation does not change size and shape.

Therefore the correct option is D.