Through: (-3,-5), parallel to y = 2x + 2

y = 2x + 1

Step-by-step explanation:

Since you have an equation and a point, all you need to do is substitute the coordinates into the equation and then solve for the y-intercept (or "b"):

y = mx + b

y = 2x + 2

(-3, -5)

-5 = 2(-3) + b

-5 = -6 + b

-5 + 6 = b

b = 1

Now you have your final equation:

y = 2x + 1

*Remember that parallel lines have the same slope, so finding a new slope is not needed!

(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

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,