Write the slope-intercept form of the equation that passes through the given points. (separate equations for each of them)
1. (10,-3) (5,-2)
2. (6,2) (7,5)
3. (4,4) (-7,4)

Part 1)

Part 2)

Part 3)

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

where

m is the slope

b is the y-intercept

Part 1) we have

(10,-3) (5,-2)

Find the slope

The formula to calculate the slope between two points is equal to

substitute

Find the value of b

we have

substitute in the equation  and solve for b

substitute

Part 2) we have

(6,2) (7,5)

Find the slope

The formula to calculate the slope between two points is equal to

substitute

Find the value of b

we have

substitute in the equation  and solve for b

substitute

Part 3) we have

(4,4) (-7,4)

Find the slope

The formula to calculate the slope between two points is equal to

substitute

This is a horizontal line (parallel to the x-axis)

The y-intercept b is equal to the y-coordinate

therefore

The equation of the line is

you are playing an adventure game on your computer. you come across a troll who won't let you pass and there is no other way to get to the other side of the river except over the bridge he is guarding.

the troll is a nerd. he takes great delight in watching people struggle with his problems. very few get them. he only gives you one chance and then he changes the puzzle. you have to solve this one.

before you are four blocks. they are numbered 11,6, -7,21.

he tells that the answer he wants is minus and between -1 and - 2. you can use +, -, ×, ÷   ( and ) as many times as you like or no times at all. you don't like the way he's looking at you, but you need to cross the bridge. what do you do?