Questions: Find the y-intercept and x-intercept of the following linear equation. -3/5 x-2 y=6

Find the y-intercept and x-intercept of the following linear equation. -3/5 x-2 y=6
Transcript text: Find the $y$-intercept and $x$-intercept of the following linear equation. \[ -\frac{3}{5} x-2 y=6 \]
failed

Solution

failed
failed

Solution Steps

Step 1: Find the y-intercept

The y-intercept occurs when x = 0. Substitute x = 0 into the equation: -3/5 * 0 - 2y = 6 -2y = 6 y = -3 So the y-intercept is (0, -3).

Step 2: Find the x-intercept

The x-intercept occurs when y = 0. Substitute y = 0 into the equation: -3/5 * x - 2 * 0 = 6 -3/5 * x = 6 x = 6 * -5/3 x = -10 So the x-intercept is (-10, 0).

Final Answer

y-intercept: (0, -3) x-intercept: (-10, 0)

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
The process analysis is used when we tell someone how to do something or explain how something works. We might explain to someone how to plant a garden or how a computer program works. Our explanation is effective if we are able to break up the process into steps and clearly explain each one. Often when we give instructions orally, we also are able to demonstrate the procedure; however, in writing, we rely only on words, so not only must each step be clear, but we also must include descriptive detail so the reader can visualize the steps. The topic sentence of the process paragraph should state the topic (the process to be explained) and an attitude or viewpoint about the process. Sometimes, we state the purpose of learning the process in the topic sentence. Look at the following examples of topic sentences for process paragraphs. To make the perfect peanut butter sandwich, follow these steps. Since most doctors have little time to spend with their patients, everyone should know how to prepare for a doctor's appointment.
failedAnswered
Decide which intermolecular forces act between the molecules of each compound in the table below.
failedAnswered
Find θ for (0^circ leq theta<360^circ). [ textsec theta=1.765, cot theta<0 ] [ theta=square ]
failedAnswered
Find the number c that satisfies the conclusion of the Mean Value Theorem f(x)=sqrt(x), [0,4] c=
failedAnswered
The length of human pregnancies is approximately normal with mean μ=266 days and standard deviation σ=16 days. Complete parts (a) through ( f ) A. If 100 independent random samples of size n=25 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 258 days. B. If 100 independent random samples of size n=25 pregnancies were obtained from this population, we would expect 1 sample(s) to have a sample mean of 258 days or less. C. If 100 independent random samples of size n=25 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 258 days or more. (e) What might you conclude if a random sample of 25 pregnancies resulted in a mean gestation period of 258 days or less? This result would be unusual, so the sample likely came from a population whose mean gestation period is less than 266 days. (f) What is the probability a random sample of size 19 will have a mean gestation period within 12 days of the mean? The probability that a random sample of size 19 will have a mean gestation period within 12 days of the mean is (Round to four decimal places as needed.)