Question

(2, 1), (-3, 1) Slope: I Line:

Answer 1

Finding the slope and line equation

We set the pair of points:

( x₁, y₁ ) = ( 2, 1 )

( x₂, y₂ ) = ( -3, 1)

Slope

Since the slope equation is given by:

$m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_{2_{}}-x_1}$

Replacing it:

$\begin{gathered} m=\frac{y_2-y_1}{x_{2_{}}-x_1} \\ =\frac{1-1}{-3-2} \\ =-\frac{0}{5} \\ =0 \end{gathered}$

Then m = 0

Line equation

Since the line equation is given by:

y = mx +b where m is its slope and b is the intercept with y-axis

Since m = 0 it is an horizontal line (constant function), then y = 1 for every value of x

Then it intercepts y-axis at y = 1. Then b = 1

Then, line, equation is y = 1

Line equation: y = 1