The vector v = ai + bj is parallel to the line bx - ay = C. Use this fact to find an equation of the line through P parallel to v. Then draw a sketch of the line including v as a vector starting at the origin.

P( 1,4). v = - i - 4j

y = 4x

Step-by-step explanation:

We know that the slopes of parallel lines are equal.

The slope is given by

m = b/a

m = -4/-1

m = 4

the slope intercept form is given by

y = mx + b

y = 4x + b

at point (-1, -4)

-4 = 4(-1) + b

-4 = -4 + b

b = -4 + 4

b = 0

therefore, the equation of the line is

y = 4x + 0

y = 4x

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a