Y=mx+b is the equation we must fill out, with x and y being their respective coordinates, m being the slope, and b being the y-intercept. The y intercept will be at (0, y), and the beginning of this problem already gives us the y-intercept: -4.
We now know y=mx-4. To find the slope, m, we’ll plug in one of the coordinates: (5, 1). The new equation is 1=m(5)-4. Solve this to get 5=m(5), and then m=1.
Now that we know the slope and y-intercept, we can conclude that the equation is y=x-4.
Use the definition of tangent
or inv tangent (arctan or atan)
tan(theta) = opposite side/ adjacent side
the vertical rise would be the opposite side, the horozontal distance would be the adjacent side
let rise = y
let distance= x
x=2y
so tan(theta) = y/2y
tan(theta) = 1/2
theta = atan(1/2)
grab a handy dandy calculator, unless you know this conversion off the top of your head
13. A=(-1,3) 14.m= (-4,1)
1, a.) The two specific conjectures are in the first image.
1, b.) The two general conjectures are in the second image.
2, a.) Two specific conjectures for this pattern are:
- The common difference between two consecutive terms is 3.
- And the given difference is A.P.
2, b.) From our observation two general conjecture is that the given sequence is an arithmetic sequence and the common difference is 3.
For finding its nth term we can use the formula: a(n) = a + (n-1) x d.
2, c.) A formula for the given pattern is 5 + (n-1)3, where n is the number of the term.
Answer:
I think the top and the two in the middle but I can't really see it's a blurry picture
