Equally inclined tangents of an ellipse

[sooyong94]

Homework Statement

Find the equation of the tangents to the ellipse 4x^2+9y^2 = 36 which are equally inclined to the x and y-axis.

Homework Equations

Quadratic discriminant

The Attempt at a Solution

First I substituted y=mx+c into the ellipse, and determined its discriminant, and got c^2 = 9m^2 + 4

 

[Mark44]

Homework Statement

Find the equation of the tangents to the ellipse 4x^2+9y^2 = 36 which are equally inclined to the x and y-axis.

Homework Equations

Quadratic discriminant

The Attempt at a Solution

First I substituted y=mx+c into the ellipse, and determined its discriminant, and got c^2 = 9m^2 + 4

Doesn't "equally inclined" to the x and y axes mean that the slopes of the tangent lines have to be 1 or -1?

Also, I'm reasonably sure that this is a calculus problem, so it should not be posted in the Precalc section. I'm moving it to the Calc & Beyond section.