Questions: Lesson 1 Practice Problems 4. The points (2,-4), (x, y), A, and B all lie on the line. Find an equation relating x and y

Lesson 1 Practice Problems 4. The points (2,-4), (x, y), A, and B all lie on the line. Find an equation relating x and y
Transcript text: Lesson 1 Practice Problems 4. The points $(2,-4),(x, y), A$, and $B$ all lie on the line. Find an equation relating $x$ and $y$
failed

Solution

failed
failed

Solution Steps

Step 1: Find the slope of the line

We can use points A(6,0) and B(10,2) to calculate the slope, _m_.

_m_ = (2-0)/(10-6) = 2/4 = 1/2

Step 2: Use the point-slope form of a linear equation

The point-slope form of a linear equation is _y_ - _y_1 = _m_(_x_ - _x_1). We can use the slope _m_=1/2 and the point (6,0) to get the following equation. _y_ - 0 = 1/2(_x_-6)

Step 3: Simplify the equation

_y_ = 1/2_x_ - 3

Final Answer:

y = 1/2x - 3

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Which of the following best explains how a person's experiences can affect their thinking? A Experiences always expand a person's thinking by exposing them to new ideas. B Experiences help shape a person's thinking but can sometimes limit their perspective if they are exposed to only certain viewpoints C A person's thinking is not influenced by their experiences; it is only shaped by education and intelligence. D Experiences always narrow a person's thinking by reinforcing the same viewpoints over time.
failedAnswered
Why did the Committee to Test the Separate Car Act choose Homer Plessy? A. Because he looked white B. Because he voted for the Populist Party C. Because he looked black and was from Louisiana D. Because he made powerful public statements
failedAnswered
The demand function for a given product is D(p)=600-p. What is the elasticity at the price p=100?
failedAnswered
The accompanying Venn diagram shows the number of elements in region V. Use the given cardinalities to determine the number of elements in each of the other seven regions. n(U) = 44, n(~A) = 25, n(~B) = 26 n(C) = 18, n(~A ∩ ~B) = 13 n(~A ∩ C) = 8, n(~B ∩ C) = 11 There are elements in region I. There are elements in region III. There are elements in region IV. There are elements in region VI. There are elements in region VII. elements in region VIII.
failedAnswered
A quality control inspector has drawn a sample of 14 light bulbs from a recent production lot. If the number of defective bulbs is 2 or more, the lot fails inspection. Suppose 20% of the bulbs in the lot are defective. What is the probability that the lot will fail inspection? Round your answer to four decimal places.