The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -2. 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, -4) and (2, 0) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = x - 2

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

6a⁴ - 3a⁴ = 3a⁴

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.

You need to find the value of c so solve the first equation in terms of x:

-2c + x = 1
x = 1 + 2c

then substitute the result (1 - -2c) into the second equation:

2c - 4(1 + 2c) = -5
2c + (-4 x 1) + (-4 x 2c) = -5
2c - 4 - 8c = -5
2c - 8c = -5 + 4
-6c = -1
c = \( \frac{-1}{-6} \)
c = \(\frac{1}{6}\)

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 5 + 1 + 3 + 1
p = 10