In the graph below, line “k” y= -k makes a 45 degree angle with the x and y axes. complete the following:
rx: (2,5) —>
a) (2,-5)
,5)
c)(5,2)

Answer with explanation:

The line , y = - x,makes an angle of 45 degree with the x and y axis means 135  degree with positive direction of x axis.

When point (p,q) is reflected over the line , y=x,the coordinates of reflected point will be (q,p)

And, when point (p,q) is reflected over the line , y= -x, the coordinates of reflected point will be (-q, -p).

So,when point (2,5) is reflected over the line , y= - x, the coordinates of reflected point will be (-5,-2).

If reflected over line , y=x ,the point (2,5) will transform to (5,2).

Now,

means reflection over x axis gives coordinates of new point (2, -5), point in fourth Quadrant.

If these points reflected over line , y= -x ,gives

A) (2, -5)→ (5, -2)

B) (-2,5)→(-5, 2)

C) (5,2)→(-2,-5)

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

21

step-by-step explanation: