Question

Write an equation of the line that passes through the points (-2, -3) and (1, -3)._____________ What is the slope?___

Answer 1

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, $m = \frac{y_2-y_1}{x_2-x_1}$, and solve:

$m = \frac{(-3)-(-3)}{(1)-(-2)} \\m = \frac{-3+3}{1+3} \\m = \frac{0}{4} \\m = 0$

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.