Write an equation for the line that passes through the points (1,4) and (2, -4).
2 answers:
First of all, Let's find the slope because we need it on the formula for finding the y-intercept.
m = y2 - y1 / x2 - x1
From the points given in the question,
x1 = 1
x2 = 2
y1 = 4
y2 = -4
Plugging in the above formula,
➝ m = -4 - 4 / 2 - 1
➝ m = -8 / 1
➝ m = -8
Now finding the y-intercept
➝ y = mx + b
And if we put in the values from our first point (1, 4) we get
➝ 1 = -8 (4) + b
➝ 1 = -32 + b
➝ b = 1 + 32
➝ b = 33
Required equation of the line:
➝ y = -8x + 33
Carry On Learning !
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Answer:
x≠-3 or x<-3 and -3<x or (∞,-3) and (-3,∞)
Step-by-step explanation:
If the expression you have given is then the domain is x≠-3
This is because in a function that is a fraction the denominator can never equal 0, otherwise you are dividing by 0 which is undefined.
Here the denominator is x+3 and so to find the undefined value of x:
Set x+3 equal to 0:
x+3=0
Subtract 3:
⇒ x=-3
That value is undefined since it results in the division of 0 which also means that it is not in the domain.