Answer:
c. y + 1 = -⅕(x - 2)
Step-by-step explanation:
To write the equation in point-slope form, we need to know the slope (m) and coordinates of a point the line passes through.
The equation would be in the form of y - b = m(x - a).
(a, b) = (2, -1)
Since the line is perpendicular to y = 5x + 3, the slope will be the negative reciprocal of 5 which is -⅕
m = -⅕.
Substitute a = 2, b = -1, and m = -⅕ into y - b = m(x - a).
Thus:
y - (-1) = -⅕(x - 2)
y + 1 = -⅕(x - 2)
Answer:
B
Step-by-step explanation:
Answer:
Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is
13x - 4y = 84.
Step-by-step explanation:
Given:
Let,
point A( x₁ , y₁) ≡ ( 4 ,-8)
point B( x₂ , y₂) ≡ (8 , 5)
To Find:
Equation of Line AB =?
Solution:
Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula

Substituting the given values in a above equation we get

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is
13x - 4y = 84.
Answer:
If you add 690 ml of water you will obtain 1.690 liter of 70% alcohol. Of course if you halve the amounts, e.g. 0.5 liter 75% alcohol and 345 ml of water, you will also obtain 45% alcohol solution.