Answer:
y =
x
Step-by-step explanation:
slope-intercept form: y = mx + b
Given: slope(m) =
, point (4, -3)
We already have the value of m, but we need to find the value of b. To do this, input the given values of the slope and the point into the equation:
-3 =
(4) + b
Solve for b:
-3 =
(4) + b
-3 = -3 + b
0 = b
The value of b is zero. We can now write the equation:
y =
x + 0
y =
x
The equation written in slope-intercept form is: y =
x
Answer:
B'(- 2, 2 )
Step-by-step explanation:
Given the translation rule (x, y ) → (x + 3, y - 2 )
This means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, that is
B(- 5, 4 ) → B'(- 5 + 3, 4 - 2 ) → B'(- 2, 2 )
Answer:
16 people
Step-by-step explanation:
Given that :
Number of people to tour = 80
Number per group = 16
Number of groups = 4
Total number of people who make up the entire groups :
Number per group * number of groups
16 * 4 = 64
The number of people in the last tour group :
80 - 64
= 16 people
Answer:
Total volume in the two glasses is 740 mL.
Step-by-step explanation:
Given:
Ratio of the volume of soda in glass A to the volume of glass B = 8/3 : 7/2
Volume of soda in glass A = 320mL
To Find :
The total volume in the two glasses = ?
Solution:
Let the volume of soda in glass B be x
then

Substituting the values ,





x = 420
Now total volume of soda in the two glasses
=> volume of soda in glass A + volume of soda in glass B
=> 320 + 420
=>740mL
Answer:
The answer to your question is a) y - 2 = -5(x - 3)
b) y = -5x + 17
Step-by-step explanation:
Data
A (1, 12)
B (3, 2)
Process
1.- Find the slope
Formula

Substitution

2.- Find the equation in point slope form
Equation
y - y1 = m(x - x1)
Substitution and equation
y - 2 = -5(x - 3)
3.- Find the slope-intercept form
Expand the point slope form
y - 2 = -5x + 15
Simplify
y = -5x + 15 + 2
Equation
y = -5x + 17