On a coordinate plane, point A is 2 units to the right and 3 units up. Point B is 4 units to the right and 1 unit up. What are the coordinates of the labeled points?

Point A is located at
.
Point B is located at
.

A(x,y) > A'(x+2, y+3) point A is 2 units to the right and 3 units up

B(x,y) > B'(x+4, y+1) Point B is 4 units to the right and 1 unit up

Step-by-step explanation:

A(x,y) > A'(x+2, y+3) point A is 2 units to the right and 3 units up

B(x,y) > B'(x+4, y+1) Point B is 4 units to the right and 1 unit up

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

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!