Answer:
C
Step-by-step explanation:
An undefined slope means that the line is vertical and parallel to the y- axis.
A vertical line has equal x- coordinates of the points it passes through.
The only pair where the x- coordinates are equal are
(- 3, - 3) and (- 3, 3) ← undefined slope → C
Answer:y = -5x + 11
Step-by-step explanation:
First, find the slope (m) of the line that passes through these points:
m = (1-6) / (2-1) = -5/1 = -5
Then use the point slope formula to find the equation of the line:
m = (y-y0)/(x-x0)
-5 = (y-1)/(x-2)
-5(x-2) = y-1
y - 1 = -5x+10
y = -5x + 11
4y= -3x+15
y= (-3/4)x+15/4
y+2= (-3/4)(x-8)
y+2= (-3/4)x+6
y= (-3/4)x+4
Answer: 0.4 pounds of the trail mix is oats.
To find the answer, you can set up a proportion. We can use the percent proportion below.
part/whole = percent/100
x/2 = 20/100
To solve this you cross multiply and divide.
100x = 40
x = 0.4
Answer:
x = -2
y = -1
(-2, -1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
y = x + 1
3x + 3y = -9
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 3x + 3(x + 1) = -9
- Distribute 3: 3x + 3x + 3 = -9
- Combine like terms: 6x + 3 = -9
- Isolate <em>x</em> term: 6x = -12
- Isolate <em>x</em>: x = -2
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = x + 1
- Substitute in <em>x</em>: y = -2 + 1
- Add: y = -1
<u>Step 4: Graph systems</u>
<em>Check the solution set.</em>