Final answer:
The x-intercept of a line with a slope of -5 and a y-intercept of -2 is -2/5. The options provided do not include this value, indicating a potential error in the question or the options.
Step-by-step explanation:
To find the x-intercept of a line given its slope and y-intercept, you can use the slope-intercept form of a linear equation, which is y = mx + b. Here, m represents the slope, and b represents the y-intercept. For a line with a slope of -5 and a y-intercept of -2, the equation is y = -5x - 2.
To find the x-intercept, set y to 0 and solve for x:
0 = -5x - 25x = -2x = -2/5
The x-intercept is at
x = -2/5.
However, this value is not listed in the provided options. There may have been an error in the question as the provided options do not include -2/5. Hence, none of the options a.
x = 5, b. x = -5, c. x = 2, or d. x = -2 are correct based on the given slope and y-intercept.
If you are looking for the nearest whole number, x = 0 would be closer than the given options, but still, it is not fully accurate.