Question

2.1
score: 22/30 answered: 22/30
question 23
find the equation of the line, in the form y = mx + b, or x = c, having the given properties.
horizontal line through (1,1)
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Explanation:

Step1: Recall slope of horizontal line

The slope $m$ of a horizontal line is $m = 0$.

Step2: Use point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$. Given the point $(x_1,y_1)=(1,1)$ and $m = 0$, we have $y-1=0\times(x - 1)$.

Step3: Simplify the equation

$y-1 = 0$, so $y=1$.

Answer:

$y = 1$