Match the equation with its graph.
–8x – 5y = 40
This is the equation of a straight line in slope-intercept form, which is y = mx + b. To find the slope, we need to rearrange the equation to solve for y:
–8x – 5y = 40
–5y = 8x + 40
y = -(8/5)x - 8
The slope of the line is -8/5. The y-intercept occurs at y = -8, and the line will have a negative slope, meaning it will slope downwards to the right.
Based on this information, the closest matching graph would be Graph D, as it shows a line with a negative slope that passes through the point (0,-8).
Graph A: y = 8x + 40 (incorrect)
Graph B: y = 5x - 8 (incorrect)
Graph C: y = -5x + 40 (incorrect)
Graph D: y = -(8/5)x - 8 (closest match)