Part A)
Given
Using the point-slope form of the line equation
where
m is the slope of the line
(x₁, y₁) is the point
In our case:
substituting the values m = 6 and the point (x₁, y₁) = (7, 2) in the point-slope form of the line equation
Therefore, the equation in point-slope form for the line having the slope m = 6 and containing the points (7,2) will be:
Part B)
Given
Using the point-slope form of the line equation
where
m is the slope of the line
(x₁, y₁) is the point
In our case:
substituting the values m = -3 and the point (x₁, y₁) = (3, 8) in the point-slope form of the line equation
Therefore, the equation in point-slope form for the line having the slope m = -3 and containing the points (3, 8) will be:
Answer:
y = - 
x - 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 5, - 4) and (x₂, y₂ ) = (- 1, - 6)
m = 
= 
= - , thus
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 1, - 6), then
- 6 = + c ⇒ c = - 6 - = -
y = - x - ← equation of line
Answer:
C / 20
Step-by-step explanation:
Number of students in the baking club = 10
Each student made 2 chocolate cakes
Total cakes = number of students × number of cakes per student
= 10 × 2
= 20
Total cups of flour used by 10 students = C cups
Amount of flour for one cake = Total cups of flour / Total cakes
= C / 20
The expression that represents the amount of flour for one cake = C / 20
Answer:
arc length = radius * angle in degrees * (PI / 180)
arc length = 6 * 160 * (PI/180)
arc length = PI * 960 / 180
arc length = PI * 5 + (60/180)
arc length = (16/3) * PI
Step-by-step explanation:
Answer:
n/2 - 3 = 10 represents this situation
Step-by-step explanation:
Let the number be n. Then:
n/2 - 3 = 10 represents this situation.
