Final answer:
The y-intercept can be found using the point-slope formula and substituting the given values. The y-intercept of the line passing through the point (5,-6) with a slope of -47 is 229.
Step-by-step explanation:
The y-intercept of a line represents the value of y when x is equal to 0. To find the y-intercept of the line passing through the point (5,-6) with a slope of -47, we can use the point-slope form of a linear equation: y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.
Plugging in the values (5,-6) and -47 into the equation, we get: y - (-6) = -47(x - 5)
Simplifying, we have: y + 6 = -47x + 235
To find the y-intercept, we set x equal to 0 and solve for y: y + 6 = -47(0) + 235
y + 6 = 235
y = 229
Therefore, the y-intercept of the line is 229.