MHB Slope of y=-7 as x increases from 8 to infinity

  • Thread starter Thread starter rootbarb
  • Start date Start date
  • Tags Tags
    Infinity Slope
AI Thread Summary
The discussion focuses on understanding the linear function represented by the equation y = mx + b, specifically with a slope of m = -7. As x increases by 1 unit, y decreases by 7 units, indicating a negative slope. The point (8, 3) is used to derive the function, leading to the conclusion that the slope m is indeed -7. The point-slope formula is also mentioned as a useful tool for solving linear equations. Overall, the conversation clarifies the relationship between the slope and the function's behavior as x approaches infinity.
rootbarb
Messages
4
Reaction score
0
The function that passes through (8,3) and every time x increases by 1 unit, the fuction decreases by 7 units
 
Mathematics news on Phys.org
It's a linear function so it has the form $y=mx+b$. Can you find $m$ and $b$?
 
Is it stating that b is -7? I know y=mx+b but this question sounds so simple has me confused.
 
$m$ = $-7$. Do you see why $m=-7$? Can you solve it now?
 
Another formula for a line you may find useful here is the point-slope formula:

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

where $\left(x_1,y_1\right)$ is a known point on the line and $m$ is the slope. :)
 
Thanks! Now I understand, def. noting both of your posts in my notepad :) This site is awesome!
 

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
View full post »

Similar threads

MHB Finding the Equation of a Line Given a Point and Slope
Replies
2
Views
1K
B Is one out of infinity different from zero?
Replies
31
Views
2K
MHB How Do You Calculate the Slope of a Line with Given Coordinates and Area?
Replies
2
Views
2K
MHB What is the equation of a line passing through (6, -3) with a y-intercept of 8?
Replies
4
Views
1K
MHB How to Calculate the Slope of a Line Through Two Points?
Replies
2
Views
2K
MHB Find an equation of the line that is perpendicular to x - y + 2 = 0
Replies
5
Views
2K
MHB Symmetry of Points Across y = x Line?
Replies
4
Views
5K
I Why does the integral of sine of x^2 from - infinity to + infinity diverge?
Replies
4
Views
2K
I Direction Fields and Isoclines
Replies
1
Views
329
MHB How Do I Find a Point on a Curve with a Specific Slope?
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top