Question

What is the y-intercept of the line passing through the point (4, -5) with a slope of - ?

a) 11
b) 41
c) 49
d) -41

Answer 1

The y-intercept of the line passing through the point (4, -5) with a slope of - is -9.

Step-by-step explanation:

The y-intercept can be found using the equation of a line, which is y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is - and the point (4, -5) lies on the line. We can substitute these values into the equation and solve for b.

-5 = (-)4 + b
-5 = -4 + b
b = -5 + 4
b = -9

Therefore, the y-intercept of the line passing through the point (4, -5) with a slope of - is -9. Hence, the correct answer is d) -41.