Which graph models the equation 2x + 3y = 6?
1 answer:
given 2x + 3y = 6
We can find the intercepts, that is where the graph crosses the x and y axes
• let x = 0, in the equation for y-intercept
• let y = 0, in the equation for x-intercept
x = 0 : 3y = 6 ⇒ y = 2 ⇒ (0, 2) ← y-intercept
y = 0 : 2x = 6 ⇒ x = 3 ⇒ (3, 0) ← x -intercept
Expressing the equation in slope- intercept form
y = mx + c ( m is the slope and c the y-intercept )
3y = - 2x + 6 ( divide all terms by 3 )
y = - x + 2
m is negative indicating the graph slopes down from left to right
The graph sloping down from left to right , crossing the x-axis at (3, 0) and the y-axis at (0, 2) is the graph which models the given equation.
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Answer:
The p-value would be 0.0939
Step-by-step explanation:
We can set a standard t-test for the Null Hypothesis that
The test statistic then takes the form
with this value we then can calculate the probability that is left to the right of this value . From theory we know that t follows a standard normal distribution. Then
which is smaller than the p-value set by Breyers of 0.10