Questions: Find the slope-intercept equation for the line with the indicated slope and y-intercept. Slope 2/3; y-intercept (0,-9)

Find the slope-intercept equation for the line with the indicated slope and y-intercept. Slope 2/3; y-intercept (0,-9)
Transcript text: Find the slope-intercept equation for the line with the indicated slope and $y$-intercept. Slope $\frac{2}{3} ; y$-intercept $(0,-9)$
failed

Solution

failed
failed

Solution Steps

To find the slope-intercept equation of a line, we use the formula \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. Given the slope \(\frac{2}{3}\) and the y-intercept \((0, -9)\), we can directly substitute these values into the formula to get the equation of the line.

Step 1: Identify the Slope and Y-Intercept

The slope \( m \) is given as \( \frac{2}{3} \) and the y-intercept \( b \) is given as \( -9 \).

Step 2: Write the Slope-Intercept Form

Using the slope-intercept form of a line, which is expressed as: \[ y = mx + b \] we can substitute the values of \( m \) and \( b \) into the equation.

Step 3: Substitute Values

Substituting \( m = \frac{2}{3} \) and \( b = -9 \) into the equation gives: \[ y = \frac{2}{3}x - 9 \]

Final Answer

The equation of the line in slope-intercept form is \[ \boxed{y = \frac{2}{3}x - 9} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
According to a recent survey, 74% of teens ages 12-17 in a certain country used social networks in 2009. A random sample of 140 teenagers from this age group was selected. Complete parts a through d below. a. Calculate the standard error of the proportion. σp=0.0371 (Round to four decimal places as needed.) b. What is the probability that less than 76% of the teens from this sample used social networks? P (Less than 76% of the teens from this sample used social networks) = (Round to four decimal places as needed.)
failedAnswered
Determine the slope of the line.
failedAnswered
Question 22 2 pts In a perfectly competitive market, each firm produces at a quantity where price is set equal to marginal cost, in the short run. equal to marginal cost, both in the short run and in the long run. equal to average cost, in the long run. equal to average cost, both in the short run and in the long run.
failedAnswered
A sports science group claims that due to improved training methods, professional cyclists burn a mean of less than 6300 calories during the annual Monaco Endurance Race. A study of 22 randomly selected professional cyclists finds that the sample mean number of calories the cyclists burn during the race is 6183 with a sample standard deviation of 302 calories. Assume that the population of numbers of calories burned by professional cyclists during the race is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that μ, the mean number of calories professional cyclists burn during the Monaco Endurance Race, is less than 6300. (a) State the null hypothesis H0 and the alternative hypothesis H1 that you would use for the test. H0 : H1 : (b) Perform a t test and find the p-value. Here is some information to help you with your t test. - The value of the test statistic is given by t=(x̄-μ)/(s/√n) - The p-value is the area under the curve to the left of the value of the test statistic.
failedAnswered
True or false: The basis for choosing among models for passive prediction is model fit.