- #1

rootbarb

- 4

- 0

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

In summary, the conversation discusses a linear function passing through a point (8,3) and with a decrease of 7 units every time x increases by 1 unit. The formula for a line is mentioned, with the point-slope formula being recommended as a useful tool to find the slope and known points on the line. The value of m is determined to be -7 and the conversation concludes with appreciation for the helpfulness of the site.

- #1

rootbarb

- 4

- 0

Mathematics news on Phys.org

- #2

Greg

Gold Member

MHB

- 1,378

- 0

It's a linear function so it has the form $y=mx+b$. Can you find $m$ and $b$?

- #3

rootbarb

- 4

- 0

Is it stating that b is -7? I know y=mx+b but this question sounds so simple has me confused.

- #4

Greg

Gold Member

MHB

- 1,378

- 0

$m$ = $-7$. Do you see why $m=-7$? Can you solve it now?

- #5

MarkFL

Gold Member

MHB

- 13,288

- 12

\(\displaystyle y=m\left(x-x_1\right)+y_1\)

where $\left(x_1,y_1\right)$ is a known point on the line and $m$ is the slope. :)

- #6

rootbarb

- 4

- 0

Thanks! Now I understand, def. noting both of your posts in my notepad :) This site is awesome!

The slope of y=-7 is a constant value of -7. This means that for every increase of 1 in the x-coordinate, the y-coordinate will decrease by 7.

A negative slope indicates a downward trend or decrease in the dependent variable (y) as the independent variable (x) increases. In this case, y decreases by 7 for every increase of 1 in x.

When x increases from 8 to infinity, it means that the x-coordinate is continuously getting larger and larger without any limit. This also means that the slope of y=-7 will remain constant at -7.

To graph y=-7 as x increases from 8 to infinity, plot a point at (8,-7) on the coordinate plane and draw a straight line that extends infinitely in the negative y-direction. This line will have a slope of -7 and will never touch the y-axis.

The slope of y=-7 is significant because it represents the rate of change or the steepness of the line. In this case, the slope of -7 means that for every increase of 1 in x, y decreases by 7. It also helps us understand the relationship between the independent and dependent variables in the equation.

- Replies
- 2

- Views
- 1K

- Replies
- 31

- Views
- 2K

- Replies
- 2

- Views
- 2K

- Replies
- 4

- Views
- 1K

- Replies
- 2

- Views
- 1K

- Replies
- 5

- Views
- 1K

- Replies
- 4

- Views
- 4K

- Replies
- 4

- Views
- 1K

- Replies
- 2

- Views
- 1K

- Replies
- 1

- Views
- 845

Share: