Question

Latisha is compiling a program for a video game. For one part of the program they use the rule (x,y) → (x + 10,y-6) to move a character on the screen.

1. What output does the rule give when the input is (10,-5)? Show your work.

2.What output does the rule give when the input is (-4.8)? Show your work.

Answer 1

slope = 2

Explanation:

calculate the slope m using the slope formula

m = \frac{rise}{run}

run

rise

= \frac{y_{2}-y_{1} }{x_{2}-x_{1} }

x 2−x y2 −y

with (x₁, y₁ ) = (- 1, - 5) and (x₂, y₂ ) = (2, 1) ← 2 points on the line

m = \frac{1-(-5)}{2-(-1)}

2−(−1)

1−(−5)

= \frac{1+5}{2+1}

2+1

1+5

= \frac{6}{3}

3

6

= 2