A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.

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

-5b - 5y = -b - 8y - 1
-5b = -b - 8y - 1 + 5y
-5b + b = -8y - 1 + 5y
-4b = -3y - 1
b = \( \frac{-3y - 1}{-4} \)
b = \( \frac{-3y}{-4} \) + \( \frac{-1}{-4} \)
b = \(\frac{3}{4}\)y + \(\frac{1}{4}\)

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s²).

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 3. 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, -3) and (2, 9) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = 3x + 3

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.

2a + 4a = 6a