The area of a rectangle in 24 square units. A diagonal drawn from one corner to another divides the rectangle into two right tri
angles.
What is the area of the shaded triangle?
What is the area of the shaded triangle?
2 answers:
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I find it easiest to start with the 2-point form of the equation of a line.
y = (y₂-y₁)/(x₂-x₁)*(x-x₁) +y₁
where the given points are (x₁, y₁) and (x₂, y₂).
Substituting the given numbers, you have
y = (8 -4)/(3 -(-1))*(x -(-1)) +4
y = 4/4(x +1) +4
y = x +5
The desired slope-intercept form of the equation for the line is ...
y = x + 5
y = (y₂-y₁)/(x₂-x₁)*(x-x₁) +y₁
where the given points are (x₁, y₁) and (x₂, y₂).
Substituting the given numbers, you have
y = (8 -4)/(3 -(-1))*(x -(-1)) +4
y = 4/4(x +1) +4
y = x +5
The desired slope-intercept form of the equation for the line is ...
y = x + 5