Moving a figure around a fixed point in the plane is called making a

Rotation.

Step-by-step explanation:

There are three rigid motions (which do not change the shape and size of the figures): rotation, translation and reflection.

You make a rotation of a figure when you turn it about a fixed point (which can be inside, on an edge or outside the figure) and it is measured in degrees.  The rotation can be clockwise or counterclockwise.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is