Answer:
A. y = 1/2 x.
Step-by-step explanation:
Use the point-slope form of a linear (straight line) function:
y - y1 = m(x - x1)
m = 1/2, x1 = 4 and y1 = 2, so:
y - 2 = 1/2(x - 4)
y = 1/2x - 2 + 2
y = 1/2 x (answer)
Answer:
see explanation
Step-by-step explanation:
given
a² + b² = c² ( isolate b² by subtracting a² from both sides )
b² = c² - a² ( take the square root of both sides )
= ± 
b = ± 
Answer:
s = 2q + 3
Step-by-step explanation:
A linear function has the form:
● y = mx + b
● y is the output of the function
● x is the variabke that we input
● b is the y-intetcept.
Focus on y and x.
Notice that y depends of the value of x. The value of y changes by changing x. So the value of x controls the output y.
y is dependent but x is not.
■■■■■■■■■■■■■■■■■■■■■■■■■■
● 6q = 3s - 9
We want q to be the independent variable wich means that q will be the input. Therefore s should be the output.
The strategy we are going to follow is separating s in one side alone.
● 6q = 3s - 9
Add 9 to both sides
● 6q + 9 = 3s -9 + 9
● 6q + 9 = 3s
Divide both sides by 3
● (6q + 9)/3 = (3s)/3
● (6q)/3 + 9/3 = s
● s = 2q + 3
So the answer is s = 2q + 3