The general form of the line is:
y = mx + c where:
m is the slope
c is the y-intercept
Now, we are given that the slope = 1/2.
The equation now became:
y = (1/2) x + c
Now, we need to get the y-intercept. We are given that (-4 ,1) belongs to the line. Therefore, this point satisfies the equation of the line. Based on this, we will substitute with this point in the equation above and solve for c as follows:
y = (1/2) x + c
1 = (1/2)(-4) + c
1 = -2 + c
c = 1+2
c = 3
Based on the above, the equation of the line is:
y = (1/2) x + 3
Answer:
Slope (m) = 
Step-by-step explanation:
Use the following equation:
Slope 
Let:
Plug in the corresponding numbers to the corresponding variables:
Simplify. Divide common factors from both the numerator and denominator:
is your answer.
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Answer:
cos(B) = a/c
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Cos = Adjacent/Hypotenuse
The leg adjacent to angle B is "a". The hypotenuse is "c", so the desired cosine is ...
cos(B) = adjacent/hypotenuse = a/c
True
Hope this helps
Have a wonderful day or night
