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Math  /  Algebra

QuestionRewrite the equation in slopeintercept form. Then find the slope and yy-intercept.
5. −25x−y=4-\frac{2}{5} x-y=4
Equation: \qquad m=\mathrm{m}= \qquad b=b= \qquad

Studdy Solution

STEP 1

1. The given equation is in the form −25x−y=4 -\frac{2}{5}x - y = 4 .
2. We need to rewrite this equation in slope-intercept form, which is y=mx+b y = mx + b .
3. The slope-intercept form will allow us to easily identify the slope m m and the y y -intercept b b .

STEP 2

1. Isolate the y y variable to rewrite the equation in slope-intercept form.
2. Identify the slope m m and the y y -intercept b b from the rewritten equation.

STEP 3

Start with the given equation:
−25x−y=4 -\frac{2}{5}x - y = 4
Add −25x-\frac{2}{5}x to both sides to isolate y y :
−y=25x+4 -y = \frac{2}{5}x + 4

STEP 4

Multiply both sides by −1-1 to solve for y y :
y=−25x−4 y = -\frac{2}{5}x - 4
This is the slope-intercept form of the equation.

STEP 5

Identify the slope m m and the y y -intercept b b from the equation y=−25x−4 y = -\frac{2}{5}x - 4 :
The slope m m is −25-\frac{2}{5}.
The y y -intercept b b is −4-4.
Equation: y=−25x−4 y = -\frac{2}{5}x - 4
m=−25\mathrm{m} = -\frac{2}{5}
b=−4b = -4

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