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 4. 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, 5) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = \(\frac{1}{2}\)x + 4

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

8c + y = 3
y = 3 - 8c

then substitute the result (3 - 8c) into the second equation:

2c + 4(3 - 8c) = -7
2c + (4 x 3) + (4 x -8c) = -7
2c + 12 - 32c = -7
2c - 32c = -7 - 12
-30c = -19
c = \( \frac{-19}{-30} \)
c = \(\frac{19}{30}\)

A trapezoid is a quadrilateral with one set of parallel sides.

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.