Solution:
<u>Note that:</u>
- Slope = m = 4
- Given point: (x₁,y₁) = (1,1) [x₁ = 1; y₁ = 1]
- Formula: y - y₁ = m(x - x₁)
<u>Use the formula to convert the line in point slope form.</u>
- y - y₁ = m(x - x₁)
- y - 1 = 4(x - 1)
The equation of the line (In point slope form) is y - 1 = 4(x - 1).
Answer:
Step-by-step explanation:
All coordinates are
(1,29); (2,30); (3,31); (4,32); (5,33); (6,34); (7,35); (8,36); (9,37); (10,38); (11,39); (12,40).
So, what we need to do is to find the line that best fit this data.
Now, notice that x-values and y-values both increase 1 unit, that means the constant ratio of change is 1, which is also defined as the slope of the line that bets fits.
Then, we need to use the point-slope formula and one point
Where the y-intercept is at (0,28).
Answer:
Option: a is correct
a) y= -cos x
Step-by-step explanation:
We could clearly see that the graph of the function passes through a point on the y-axis which is :
(0,-1)
i.e. when x=0 the value of the function y= -1
So we will check in each of the following options by putting x=0 and check whether y= -1 or not.
b)
y=sin x
on putting x=0 we get:
y=sin 0=0≠ -1.
Hence, option b is incorrect.
c)
y= cos x.
we put x=0
y= cos 0=1≠ -1.
Hence, option c) is incorrect.
d)
y= -sin x
we put x=0 to obtain:
y= -sin 0=0≠ -1.
Hence, option d is incorrect.
Hence we are left with option a i.e.
The graph represents the function:
y= -cos x. (Hence, option a is correct)
( Also it satisfies at x=0
since, y= -cos 0= -1 )
The missing angle is 72 degrees because of vertex angles