Answer:
y = -3, slope = 0
Step-by-step explanation:
1) First, find the slope of the line. Substitute the x and y values of the given points into the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], and solve:
[tex]m = \frac{(-3)-(-3)}{(1)-(-2)} \\m = \frac{-3+3}{1+3} \\m = \frac{0}{4} \\m = 0[/tex]
Thus, the slope is 0.
2) If a line has a slope of 0, that means it is horizontal. All horizontal lines are represented by the equation y = a number. That number is determined by the y-value of all the points the line intersects. Thus, find the y-value of the given points and put it into the equation. Looking at the given points, that number would be -3, so y = -3 is the equation.