The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.

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

-7c + y = -3
y = -3 + 7c

then substitute the result (-3 - -7c) into the second equation:

-c - 8(-3 + 7c) = -1
-c + (-8 x -3) + (-8 x 7c) = -1
-c + 24 - 56c = -1
-c - 56c = -1 - 24
-57c = -25
c = \( \frac{-25}{-57} \)
c = \(\frac{25}{57}\)

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, 2) and (2, -10) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = -3x - 4

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 1 x 2) + (2 x 2 x 3) + (2 x 1 x 3)
sa = (4) + (12) + (6)
sa = 22

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 61° - 58° = 61°

So, d° = 58° + 61° = 119°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 61° = 119°