Answer:
y = - 4
Step-by-step explanation:
x = - 1 is the equation of a vertical line parallel to the y- axis
The equation of a line perpendicular to it will therefore be a horizontal line parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (8, - 4 ) with y- coordinate - 4 , then
y = - 4 ← equation of perpendicular line
Answer:
the points where the ellipse crosses the x- axis are (1.73, 0) and (-1.73, 0)
Step-by-step explanation:
To find the points at which a graphic crosses the x-axis we need to find the values for x where y = 0.
Therefore, in the equation x²- xy + y² = 3 we are going to make y = 0 and solve for x
x² - xy + y² = 3
x²- x(0) + (0)² = 3
x² = 3
x = ±√3
x₁ = 1.73 and x₂ = -1.73
Therefore, the points where the ellipse crosses the x- axis are (1.73, 0) and (-1.73, 0)
In standard form the two equations are
7x +y = 5
7x +y = -5
The equations describe lines that are parallel.
