Question

a. rewrite the equation 4y + 8 = 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 (simplify your answer. use integers or fractions for any numbers in the equation.)

Explanation:

Step1: Isolate the y-term

Subtract 8 from both sides:
$4y + 8 - 8 = 0 - 8$
$4y = -8$

Step2: Solve for y

Divide both sides by 4:
$\frac{4y}{4} = \frac{-8}{4}$
$y = -2$

Step3: Identify slope and intercept

The slope-intercept form is $y=mx+b$, where $m$ is slope and $b$ is y-intercept. For $y=-2$, this is $y=0x-2$, so:
Slope $m=0$, y-intercept $b=-2$

Step4: Graphing guidance

Plot the y-intercept at $(0, -2)$. Since the slope is 0, draw a horizontal line through this point (the line is parallel to the x-axis, passing through all points where $y=-2$).

Answer:

a. $y = -2$
b. Slope: $0$, y-intercept: $(0, -2)$
c. Plot the point $(0, -2)$, then draw a horizontal straight line through this point that extends infinitely in both directions.