Questions: Solve for y and graph the equation with a standard window on a graphing utility. 9x-4y=9 y= (Simplify your answer. Use integers or fractions for any numbers in the expression.) Use a graphing calculator to graph the equation with a standard window. Choose the correct graph below: A. B. C. D.

Solve for y and graph the equation with a standard window on a graphing utility. 9x-4y=9 y= (Simplify your answer. Use integers or fractions for any numbers in the expression.) Use a graphing calculator to graph the equation with a standard window. Choose the correct graph below: A. B. C. D.
Transcript text: Solve for $y$ and graph the equation with a standard window on a graphing utility. \[ \begin{array}{l} 9 x-4 y=9 \\ y=\square \end{array} \] (Simplify your answer. Use integers or fractions for any numbers in the expression.) Use a graphing calculator to graph the equation with a standard window. Choose the correct graph below: A. B. C. D.
failed

Solution

failed
failed

Solution Steps

Step 1: Isolate the y-term

Start with the given equation: \[ 9x - 4y = 9 \]

Subtract \( 9x \) from both sides to isolate the \( y \)-term: \[ -4y = -9x + 9 \]

Step 2: Solve for y

Divide both sides by \(-4\) to solve for \( y \): \[ y = \frac{9x - 9}{4} \] \[ y = \frac{9}{4}x - \frac{9}{4} \]

Step 3: Identify the correct graph

The equation \( y = \frac{9}{4}x - \frac{9}{4} \) is a linear equation with a slope of \(\frac{9}{4}\) and a y-intercept of \(-\frac{9}{4}\).

By examining the provided graph options, the correct graph should have a line with a positive slope and a y-intercept at \(-\frac{9}{4}\).

Final Answer

The correct graph is option C.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
A wooden artifact from an ancient tomb contains 45 percent of the carbon-14 that is present in living trees. How long ago, to the nearest year, was the artifact made? (The half-life of carbon-14 is 5730 years.) years
failedAnswered
Consider the following function depicted in the following graph.
failedAnswered
La energía es la capacidad que tiene la materia de producir trabajo en forma de movimiento, luz, calor, etc. Es una cantidad física escalar y se puede presentar de muchas formas. Entre los distintos tipos de energía se destacan la atómica o nuclear, la hidráulica, la química, la eléctrica, la radiante, la eólica, la mecánica cinética y potencial, la geotérmica y la térmica. Cuando encendemos un vehículo automotor, la gasolina o la mezcla de hidrocarburos que emplea como combustible es sometido a un ciclo de combustiones y detonaciones controladas que genera la energía que, a su vez, permite el movimiento. Este combustible contiene dicha energía en las moléculas de hidrocarburos que durante las reacciones se transforman en otros compuestos y liberan energía. El octano es uno de los hidrocarburos que componen la gasolina: 2 C8H18 + 25 O2 -> 16 CO2 + 18 H2O + Energía ¿A qué tipo de energía pertenece el ejemplo anteriormente mencionado? a. Energía eléctrica b. Energía eólica c. Energía química d. Energía radiante
failedAnswered
The function below has at least one rational zero. Use this fact to find all zeros of the function. f(x) = 2x^3 + 5x^2 + 5x + 3 If there is more than one zero, separate them with commas. Write exact values, not decimal approximations.
failedAnswered
Question 5 The following will shift the demand curve for coffee outwards (to the right) A decrease in the price of pastries (a complementary good). A new study that links the drinking of coffee to certain stomach diseases. A decline in the price of coffee. A shift in supply.