The equation is:
y = 5x + 1
Answer:
y = -5x - 1
Step-by-step explanation:
Let the equation of a line parallel to the given line is,
y - y' = m(x - x')
Where m = slope of the line
And line passes through (x', y')
Equation of a line has been given as,
5x + y = 4
y = -5x + 4
Slope of this line = -5
By the property of parallel lines "slope of the parallel lines are same",
m = -5
Parallel line passing through (-1, 4) and slope 'm' = -5 will be,
y - 4 = -5(x + 1)
y - 4 = -5x - 5
y = -5x - 5 + 4
y = -5x - 1
Therefore, equation of the parallel line will be,
y = -5x - 1
Answer: price of soda (a) = $2 and price of popcorn (b) = $0.5
Step-by-step explanation:
Let's denote soda = a and popcorn = b
Kaylin bought a soda and two popcorn, writing out an equation for this would be
a + 2b = $3...........equation (i)
And her brother bought 3 sodas and 1 popcorn.
3a + b = $6.50..........equation (ii)
From equation (i),
a + 2b = 3
Making a the subject of formula,
a = 3 - 2b......equation (iii)
Using substitution reaction, put equation (iii) into equation (ii)
3(3 - 2b) + b = $6.50
9 - 6b + b = 6.50
9 - 5b = 6.50
Collecting like terms,
5b = 9 - 6.50
Divide both sides by 5,
b = 5.
Put b = 5 into equation (i)
a + 2(0.5) = 3
a + 1 = 3
a = 2
Therefore, the price of soda is $2 per one and $0.5 for each popcorn.
16 = j - 3
-j = -16 - 3
-j = -19
j = 19
