The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 2) and (2, -10) so the slope becomes:

For parallel lines with a transversal, the following relationships apply:

• angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
• alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
• all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
• same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with w° = 31, the value of c° is 31.

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 54° - 40° = 86°

To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.

9a - 4x = -3a + 2x + 3
9a = -3a + 2x + 3 + 4x
9a + 3a = 2x + 3 + 4x
12a = 6x + 3
a = \( \frac{6x + 3}{12} \)
a = \( \frac{6x}{12} \) + \( \frac{3}{12} \)
a = \(\frac{1}{2}\)x + \(\frac{1}{4}\)