Answer:
Step-by-step explanation:
step 1: identify the x1, y1 and slope
x1 = -3
y1 = 5
m(slope) = -2/5
Step 2: plug the points that you identified into the point slope form equation.
Point slope form: y - y1 = m(x-x1) ---> this is one of the general equation that will help you find the equation for a function when given a point and slope.
y - 5 = -2/5(x -(-3))
y - 5 = -2/5(x + 3)
y - 5 = (-2/5)x -6/5
y = (-2/5)x + 19/5
Step 3:
Plug in at least 2 points and graph them. You should get a graph similar to the one in the screenshot.
I hope this helps!
Answer:
y - 11 = - 3(x + 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) is a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (- 2, 11)
m = =
= - 3
Use either of the 2 given points for (a, b)
Using (a, b) = (- 2, 11), then
y - 11 = - 3(x - (- 2)), that is
y - 11 = - 3(x + 2)
To prove the divisibility lets expand each number first to get the complete picture of the problem
51^7 = 8.974106779 . 10^11
51^6 = 1.75962878 . 10^10
(51^7 - 51^6) = 8.974106779 . 10^11 - 1.75962878 . 10^10
= 8.798143901. 10^11
= 3.51925756. 10^10
That is the answer expressed in scientific notation
= 35192575600
Which means the divisibility is proven