Question

a. rewrite the equation 3y - 9 = 0 in slope - intercept form.
b. give the slope and y - intercept.
c. use the slope and y - intercept to graph the linear function.
a. the slope - intercept form of the equation is \square.
(simplify your answer. use integers or fractions for any numbers in the equation.)

Explanation:

Step1: Isolate the y-term

Add 9 to both sides:
$$3y = 9$$

Step2: Solve for y

Divide by 3 on both sides:
$$y = \frac{9}{3} = 3$$
This is equivalent to $y = 0x + 3$, the slope-intercept form $y=mx+b$.

Step3: Identify slope and intercept

From $y=0x+3$, slope $m=0$, y-intercept $b=3$.

Step4: Graphing guidance

Plot the y-intercept at $(0, 3)$. Since slope is 0, draw a horizontal line through this point (the line is parallel to the x-axis, passing through all points where $y=3$).

Answer:

a. $y = 3$
b. Slope: $0$, y-intercept: $(0, 3)$
c. Plot the point $(0, 3)$, then draw a horizontal straight line passing through this point that extends infinitely in both directions.