The equation of the line is y = -0.5x - 1.
What is the slope of the line?
The slope of the line is defined as the angle of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
Given,
To determine the equation, we need the y intercept. The y intercept is at x = 0, y = -1
The line passes through the points (0, -1) and (4, -3)
Let
x₁ = 0 y₁ = -1
x₂ = 4, y₂ = -3
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Substitute values in the formula
m = (-3-(-1))/(4-0)
m = (-3+1)/(4)
m = -2/4
m = -1/2
Let the line (y - y₂) = m(x -x₂ )
Substitute the values in the equation,
So, y-(-3) = -1/2(x-4)
y + 3 = -1/2x +2
y = -0.5x + 2 - 3
y = -0.5x - 1
The equation of the line is y = -0.5x - 1.
Thus, the missing number is - 1.
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