Complete the equation of the line through (-9 -9) and (-6 0)
1 answer:
Answer:
y = 3x + 18
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 ) = (- 9, - 9) and (x₂, y₂ ) = (- 6, 0)
m = =
= 3, thus
y = 3x + c ← is the partial equation of the line
To find c substitute either of the 2 points into the partial equation
Using (- 6, 0), then
0 = - 18 + c ⇒ c = 0 + 18 = 18
y = 3x + 18 ← equation of line
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Answer: Time taken by Ximena to paint the fence alone = 24 hours
Time taken by Candice to paint the fence alone = 12 hours
Step-by-step explanation:
Let x= Time taken by Ximena to paint the fence alone .
Time taken by Candice to paint the fence alone = x-12
As per given , we have
if x= 4
Time taken by Ximena = 4 hours
Time taken by Candice = 4-12 hours =-8 hours which is not possible. (time cannot be negative)
Therefore, x= 24
Such that
Time taken by Ximena to paint the fence alone = 24 hours
Time taken by Candice to paint the fence alone = 24-12=12 hours