Answer:
Slope <em>m</em> = 3/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define Equation</u>
3x - 2y - 6 = 0
<u>Step 2: Rewrite</u>
<em>Find slope-intercept form</em>
- Subtract 3x on both sides: -2y - 6 = -3x
- Add 6 on both sides: -2y = -3x + 6
- Divide -2 on both sides: y = 3/2x - 3
<u>Step 3: Break Function</u>
<em>Identify Parts.</em>
Slope <em>m</em> = 3/2
y-intercept <em>b</em> = -3

So, to find our x-intercepts, y must be zero

ANSWER: (0,0) (-5.0) (9,0) are your x-intercepts
X = pencils, y = pens
8x + 6y = 8.50
4x + 4y = 5.....multiply by -2
----------------
8x + 6y = 8.50
-8x - 8y = -10 (result of multiplying by -2)
-----------------add
-2y = - 1.50
y = -1.50 / -2
y = 0.75 <=== pens cost 0.75
4x + 4y = 5
4x + 4(0.75) = 5
4x + 3 = 5
4x = 5 - 3
4x = 2
x = 2/4
x = 0.50 <== pencils cost 0.50
x-3y= 1
The equation needs to be rewritten in proper Slope intercept form ( y = mx+b) where m is the slope and b is the y-intercept.
x-3y = 1
Subtract x from each side:
-3y = 1-x
Divide both sides by -3:
y = 1/-3 - x/-3
Simplify:
y = 1/3x - 1/3
The slope is 1/3