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Work Shown:
Those are the possible solutions, but plugging x = -14 back into the original equation will lead to an error. So we rule x = -14 out
x = 6 works as a solution however
Answer:
<h2>a) x + y = -2</h2><h2>b) x - y = -8</h2><h2>c) 3x - 5y = -30</h2><h2>d) 5x + 3y = -16</h2>Step-by-step explanation:
Equation of line with slope m and passing through (x₁,y₁) is given by
y - y₁ = m ( x -x₁)
(x₁,y₁) = (−5,3)
a) Parallel to x = −1
Slope , m = -1
y - y₁ = m ( x -x₁)
y - 3 = -1 ( x -(-5))
y -3 = -x - 5
x + y = -2
b) Perpendicular to x = −1.
Slope of line x Slope of perpendicular line = -1
Slope of line x -1 = -1
Slope , m = 1
y - y₁ = m ( x -x₁)
y - 3 = 1 ( x -(-5))
y -3 = x + 5
x - y = -8
c) Parallel to y = 3 / 5 x + 2
Slope , m = 3/5
3x - 5y = -30
d) Perpendicular to y = 3 / 5 x + 2
Slope of line x Slope of perpendicular line = -1
Slope of line x 3/5 = -1
Slope , m = -5/3
5x + 3y = -16