What is an equation of the line that passes through the points (6, 0) and (-1, -7)?
1 answer:
Answer:
y = x - 6
Step-by-step explanation:
We want to write a line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
First, we need to find the slope, which is just the change in the y-coordinates divided by the change in the x-coordinates:
slope = m =
Our equation now looks like this: y = x + b
Now, to find the y-intercept, let's use one of the points provided and plug those values of x and y into the incomplete equation we have to solve for b:
0 = 6 + b ⇒ b = -6
So, the equation is: y = x - 6.
Hope this helps!
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The asymptotes are where the graph is undefined. Since: tan(x) =sin(x)/cos(x)
It is where cos(4x-π) = 0
cos(4x-π) = 0 when the inside is -π/2 , π/2 , 3π/2
4x - π = π/2
4x = π/2 + π
4x = 3π/2
x = 3π/8
4x - π = 3π/2
4x = 3π/2 + π
4x = 5π/2
x = 5π/8
This ones outside the interval (5π/8 > π/2) , try -π/2
4x - π = -π/2
4x = -π/2 + π
4x = π/2
x = π/8
Asymptotes are π/8 and 3π/8
Answer:
578 + 48 square inches
Step-by-step explanation:
The computation of the area of the purple band is as follows:
Area of the green square = side^2 = x^ square inches
And, the area of the orange square = side^2
The side would be = = 12 + 12 +x = 24 + x
And, now the area would be = (x + 24)^2
Now the area of the orange band is
= Area of the orange square area of the green square
= (x + 24)^2 - x^2
= x^2 + 24^2 + 48 - x^2
= 578 + 48 square inches
