Final answer:
Using the point-slope form, the equation of the line with a slope of 5 and passing through the point (-8,7) is found to be y = 5x + 47. Option A is the correct answer. option (A)
Step-by-step explanation:
To find the equation of the line with a given slope and that passes through a specific point, we use the point-slope form of the equation of a line, which is:
y - y1 = m(x - x1)
Here, m represents the slope, and (x1, y1) represents the point the line passes through. For the slope of 5 and the point (-8,7), the equation becomes:
y - 7 = 5(x + 8)
Simplify the equation to get the slope-intercept form:
y = 5x + 40 + 7
y = 5x + 47
Therefore, the correct equation of the line is A) y = 5x + 47.