Answer:
(-2, 20)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -7x + 6
y = -10x
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em> [1st Equation]: -10x = -7x + 6
- [Addition Property of Equality] Add 7x on both sides: -3x = 6
- [Division Property of Equality] Divide -3 on both sides: x = -2
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x </em>[2nd Equation]: y = -10(-2)
- Multiply: y = 20
Answer:
15
Step-by-step explanation:
3 counselors for every 20 girls
Y2-y1/x2-x1 is slope so
9-9/14-(-20) so you get 0/34 which means there is no slope since they have the same y (the equation would be y=0x+9 therefore y=9)
Which makes sense since the equation is a straight line
Answer/Step-by-step explanation:
✍️Slope of the line using two points, (2, 2) and (6, 10),
✍️To find the equation of the line in slope-intercept form, we need to find the y-intercept (b).
Substitute x = 2, y = 2, and m = 2 in y = mx + b, and solve for b.
2 = (2)(2) + b
2 = 4 + b
2 - 4 = b
-2 = b
b = -2
Substitute m = 2 and b = -2 in y = mx + b.
✅The equation would be:
✍️To find the value of a, plug in (a, 8) as (x, y) into the equation of the line.
Add 2 to both sides
Divide both sides by 2
a = 5
✍️To find the value of b, plug in (4, b) as (x, y) into the equation of the line.
