What is the slope of the line that passes through the points left bracket, 0, comma, minus, 10, right bracket(0,−10) and left bracket, minus, 4, comma, minus, 11, right bracket(−4,−11)? Write your answer in simplest form.
The slope of a line passing through two points, (x₁, y₁) and (x₂, y₂), can be calculated using the formula:
slope = (y₂ - y₁) / (x₂ - x₁).
In this case, the points are (0, -10) and (-4, -11). Therefore:
slope = (-11 - (-10)) / (-4 - 0)
= (-11 + 10) / (-4)
= -1 / -4
= 1/4.
The slope of the line passing through these points is 1/4.