Consider the equation y = -2x + b. Find the value of b if the line passes through (-5, 4). Select one:
a. b = -3
b. b = 4
c. b = 2
d. b = -6

b = -6 (Answer d)

Step-by-step explanation:

The slope-intercept equation is y = -2x + b, and we know that the line passes through (-5, 4).  Substitute -5 for x and 4 for y, to obtain:

4 = -2(-5) + b, or

4 = 10 + b, or

b = -6 (Answer d)

step-by-step explanation:

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3