Question

What is the slope in the equation: y = 6x - 300?
A. 300
B. 6
C. -6
D. -300

Answer 1

Slope is a rate at which the y-value increases (or decreases) for 1 x-unit.

Answer 2

Like, if, when the x goes 1 unit to the right, and y goes 4 units up, then the slope is 4.

Answer 3

ok

Answer 4

so y298-x6

Answer 5

If you try to make a logical observation, you will see that,
\(\Large\color{blue}{x~~~~~~~~~~y }\)

\(\Large\color{blue}{0~~~~~-300 }\)

\(\Large\color{blue}{1~~~~~-294 }\)

\(\Large\color{blue}{2~~~~~-288 }\)

\(\Large\color{blue}{3~~~~~-282 }\)

Answer 6

294 sorry

Answer 7

you confused me

Answer 8

you can see that as x increases by 1, y is increasing by 6. (all I did is that I plugged in 0, 1, 2, and 3 for x)

(In the above table)

when x is 0, the y is -300
when x is 1, the y is -294
when x is 2, the y is -288

so each time it goes up by 6 units.

Answer 9

but it cant be 1 can it?

Answer 10

no it is not 1.

Answer 11

As x goes right (increases) by 1 unit, your y goes up (increases) by how many units?

Answer 12

THAT, is going to be the slope.

Answer 13

If you don't get it conceptually, you can just take the slope intercept formula, and compare your equation to it.

\(\Large\color{blue}{y = \color{red}{6}x -300 }\)

\(\Large\color{blue}{y = \color{red}{m}x+b }\)

Answer 14

so what is the new x and y

Answer 15

6x then what y300 or something else

Answer 16

the slope is 6 isnt it

Answer 17

6 units. right:)

Answer 18

thanks

Answer 19

I said y=-300, is when x=0, because when x=0, then 6x is also zero, and 0-300 is -300.