Option D:
The equation of a line in point-slope form is y = 3x – 7.
Solution:
Take any two points on the line given in the graph.
Let the points be (–4, 4) and (2, 2).
Slope of the given line:
<em>If two lines are perpendicular, then the product of their slopes are –1.</em>
Multiply by 3 on both sides of the equation.
Multiply by –1 on both sides of the equation.
⇒
Perpendicular line passes through the point (2, –1).
Here, .
Using point-slope form:
Subtract 1 on both sides of the equation.
The equation of a line in point-slope form is y = 3x – 7.
Therefore option D is the correct answer.
Answer:
16
Step-by-step explanation:
(3x - 1) + 2
(3(5) - 1) + 2
(15 - 1) + 2
14 + 2
16
Answer:
Yes
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point (1, 4)
y = 8x - 4
<u>Step 2: Find</u>
- Substitute in point [Equation]: 4 = 8(1) - 4
- Multiply: 4 = 8 - 4
- Subtract: 4 = 4
The correct equation is C. Distribute the 2 to both expressions in the parentheses, which gives you 4x-14+8x+6=112. Combine like terms. 12x-8=112. Add 8 to both sides to cancel the negative 8 and isolate the variable. 12x=120. Divide both sides by 12 to isolate the variable. x=10.