Final answer:
The correct equation of the line with a slope of -5 and y-intercept (0, -7) is y = -5x - 7. This corresponds to choice A.
Step-by-step explanation:
The question involves finding the equation of a line given the slope (m) and the y-intercept. The slope-intercept form of a line's equation is y = mx + b, where m is the slope and b is the y-intercept.
With a slope of -5 and a y-intercept at the point (0, -7), we can substitute these values into the slope-intercept form to get the equation of the lin
Substituting -5 for m and -7 for b gives us the equation y = -5x - 7. Therefore the correct answer to the given question is:A. y = -5x - 7The equation of a line can be determined using the slope-intercept form, which is represented as y = mx + b, where m is the slope and b is the y-intercept.
In this case, we are given that the slope (m) is -5 and the y-intercept (b) is (0, -7).
Substituting the values into the slope-intercept form, we get y = -5x - 7.
Therefore, the correct equation for the line is y = -5x - 7 (option A).