Answer:
y = -⅔x + ²²/₃
Step-by-step explanation:
1. Calculate the slope of EF
Assume E is at (-2, 5) and F is at (1, 3).
m₁ = (y₂ - y₁)/(x₂ - x₁) = (3 - 5)/(1 -(-2)) = -⅔
2. Calculate the slope of the parallel line
m₂ = m₁ = -⅔
3. Calculate its y-intercept
y = mx + b
6 =-⅔(2) + b
Simplify
6 = -⁴/₃ + b
Add ⁴/₃ to each side
b = 6 + ⁴/₃ = ¹⁸/₃ + ⁴/₃ = ²²/₃
The y-intercept is at (0,²²/₃).
4. Write the equation for the line
y = -⅔x + ²²/₃
The diagram shows EF in red. The parallel line in black passes through (2, 6) with a y-intercept at (0,²²/₃).
The answer is isosceles.
Explanation:
Isosceles triangle is where two side lengths are equal.
Equilateral triangle is where all side lengths are equal.
Scalene Triangle is where all side lengths have different measures.
Since this triangle has two side lengths with the same measure it is an isosceles triangle.
Answer:
The perpendicular line would be y = -3x - 7
Step-by-step explanation:
To find the equation of the line, we first need to solve the original line for y.
-x + 3y = 9
3y = x + 9
y = 1/3x + 3
Now we know the slope of the original line to be 1/3. Since perpendicular lines have opposite and reciprocal slope, we know the new line to have a slope of -3. We can then use that along with the given point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 2 = -3(x + 3)
y - 2 = -3x - 9
y = -3x - 7
Answer:
I believe the answer is -176º
Answer:
32.5%
Step-by-step explanation:
His debt payments total $300 +350 = $650.
As a fraction of his income, that is ...
$650/$2000 = 325/1000 = 32.5/100 = 32.5%
Nicholas's debt to income ratio is 32.5%.
