Answer: slope = 0
Step-by-step explanation:
The question gives us two points, (1,-1) and (-4,-1), from which we can find the slope and later the equation of the line.
The moment I look at the points, I can tell that the slope is 0 becasue the y values are the same (meaning the line is horizontal)
Calculating the Slope
The slope of the line (m) = (-1 - (-1)) ÷ (-4 - 1)
= (0) ÷ (-5)
= 0
Checking my answer visually:
Finding the Equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. Once we have that equation, we can graph it to see if it passes through the two points. If it does, then we calculated the slope correctly.
⇒ y - (-1) = 0 (x - 1) [ using the point (1, -1)]
y + 1 = 0
y = -1
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.