Answer:
(-5/2,-4)
Step-by-step explanation:
slope (m ) = 
, y - 1 = ( x - 2)
The equation of a line in ' point- slope form 'is
y - b = m (x - a)( m is the slope and (a , b ) a point on the line )
To calculate m use the ' gradient formula'
m = (y₂ - y₁ )/(x₂ - x₁ )
let (x₁, y₁ ) = (2 , 1) and (x₂, y₂ ) = (14 , 31) ← values chosen from table
m = (31 - 1 )/(14 - 2 ) =
=
equation in point- slope form using m = and (a,b )= (2 , 1)
y - 1 = ( x - 2)
a. 1.732
because if the number behind the number you are rounding is 5 or greater, you go up a number, but if it is less than 5, then you leave it the same. this applies to both problems.
b. 3.142
Answer:
Option A.
Step-by-step explanation:
In the given graph there are four intervals in which we have to find the nature of function.
1). In the interval (-∞, -0.7)
f(x) < 0
Because for every value of x, value of the function is negative.
2). In the interval (-0.7, 0.76)
f(x) > 0
For each value of x, value of the function is greater than 0.
3). In the interval (0.76, 2.5)
f(x) < 0
Because in this interval value of the function is negative.
4). Interval (2.5, ∞)
f(x) > 0
Because value of the function for every value of x, is greater than 0.
When we compile all four properties Option A. comes out to be the right option.
