Answer:
The ordered pair to represent a in the equation a=2b+c if b=(6,3) and c=(-4,8) is: a=(8,14)
Step-by-step explanation:
b=(6,3)
c=(-4,8)
a=2b+c
Replacing b and c in the equation above:
a=2(6,3)+(-4,8)
Multiplying:
a=(2*6,2*3)+(-4,8)
a=(12,6)+(-4,8)
Adding:
a=(12+(-4),6+8)
a=(12-4,14)
a=(8,14)
Given:
The points are (-3, 2) and (2, -13).
To find:
Slope-intercept form of the equation.
Solution:
Here
.
Slope of the line:



m = -3
Using point-slope formula:




Add 2 on both sides.


Slope-intercept form of the equation is y = -3x - 7.
Answer:
y = -2x + 5
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define given</u>
y-intercept <em>b</em> = 5
Slope <em>m</em> = -2
<u>Step 2: Write function</u>
y = -2x + 5
0 in a tenths place and rounded the ones to 7. Rounded to the nearest 10th is 7
Answer: 13
Step-by-step explanation:
Pythagoras's theorem:
A^2 + B^2 = C^2
12^2 + 5^2 = x^2
144 + 25 = x^2
169 = x^2
13 = x