What is an equation of the graph shown?

Explanation

Choice C is correct. The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. The graph shows a line with a y-intercept at (0, -8), so b = -8. The line also passes through the point (-8, 0). The slope m can be calculated using the points (0, -8) and (-8, 0) as m = (0 - (-8)) / (-8 - 0) = -1. Substituting m = -1 and b = -8 into the equation form gives y = -x - 8. Therefore, the equation of the line shown is y = -x - 8.Option A is incorrect as it has a slope of -2. Option B is incorrect due to its slope of 1, and Option D is incorrect with a slope of 2.