Find the equation of the line
passing through the points 1,-5)
and (9,11).
y = 2x + [?]

y = 2x - 7

Step-by-step explanation:

Looks like we already have the slope of this line:  It is 2.  Working with the point (1, -5), we have x = 1 and y = -5 and can from this info easily find the y-intercept, b:

y = mx + b becomes

y  = 2x + b, which in turn becomes

-5 = 2(1) + b, or

b = -7,

and so the desired equation is y = 2x - 7

three-fourths of an hour

36÷48=0.75

0.75=

(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