Answer:
Step-by-step explanation:
1) First, find the slope of the equation. Use the slope formula 
. Substitute the x and y values of the given points into the formula and solve:
Thus, the slope is 
.
2) Now, use the point-slope formula 
to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for 
, 
, and 
.
Since represents the slope, substitute for it. Since and represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.
16: B; irrational number, real
17: C; whole, integer, rational, real
18: B; real, rational, integer
Answer:
Weber's Law
Step-by-step explanation:
- Weber's law States that it is a mathematical model of the difference threshold stating that the magnitude needed to detect a physical change in a stimulus is proportional to the absolute magnitude of that stimulus. Thus, the more intense the stimulus, the greater the change that must be made in it to be noticed.
Answer:
12,288
Step-by-step explanation:
aₙ = 3 (-2)ⁿ⁻¹
a₁₃ = 3 (-2)¹³⁻¹
a₁₃ = 12,288
Answer:
y = - 2x + 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute (5, 2) into the partial equation
2 = - 10 + c ⇒ c = 2 + 10 = 12
y = - 2x + 12 ← equation of line
