Question

(a) write the equation in slope-intercept form, and determine the slope and y-intercept.
(b) graph the equation using the slope and y-intercept.
−x−5y=5
part: 0 / 2
part 1 of 2
the slope is .
the y-intercept is ( , ).
the equation written in slope-intercept form is .

Explanation:

Step1: Isolate the y-term

Add $x$ to both sides:
$-5y = x + 5$

Step2: Solve for y (slope-intercept)

Divide all terms by $-5$:
$y = -\frac{1}{5}x - 1$

Step3: Identify slope

Slope is coefficient of $x$:
$m = -\frac{1}{5}$

Step4: Identify y-intercept

Y-intercept is constant term, point $(0, b)$:
$b = -1$, so $(0, -1)$

Answer:

The equation written in slope-intercept form is $y = -\frac{1}{5}x - 1$
The slope is $-\frac{1}{5}$
The y-intercept is $(0, -1)$

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For part (b) graphing instructions:

1. Plot the y-intercept point $(0, -1)$ on the coordinate plane.
2. Use the slope $-\frac{1}{5}$: from the y-intercept, move 1 unit down and 5 units to the right (or 1 unit up and 5 units to the left) to plot a second point.
3. Draw a straight line connecting the two points to graph the equation.