Write the equation of the line which passes through (1, 2) and with slope of −1/3

Mathematics

1 answer:

Sati [7]3 years ago

8 0

Answer:

Step-by-step explanation:

The equation of a line which passes through <em>(x₁, y₁)</em> and with slope of <em>m</em> in point-slope form:

y - y₁ = m(x - x₁)

m = -¹/₃

(1, 2) ⇒ x₁ = 1, y₁ = 2

Therefore, the equation of the line which passes through (1, 2) and with slope of −1/3 in point-slope form:

y - 2 = -¹/₃(x - 1)

y - 2 = -¹/₃x + ¹/₃ {add ¹/₃x to both sides}

¹/₃x + y - 2 = ¹/₃ {add 2 to both sides}

¹/₃x + y = 2¹/₃ {multiply both sides by 3}

x + 3y = 7

You might be interested in

√(5-2x) - √(2-x) = 1

Eva8 [605]

Square both sides. (5-2x) - (2-x) = 1^2. 5 - 2x - 2 + x = 1. Simplify to get 3 - x = 1. X=2

8 0

3 years ago

Can I Get A Little Help Here?

Musya8 [376]

Hey there :)

We know the formula for simple interest is
I = prt
{ The picture includes what each stands for }

Lehena:
Initial amount = $100
Interest rate = 2.5% = $\frac{2.5}{100} = 0.025$
Time = 3 years
I = ( 100 )( 0.025 )( 3 )
= 7.5$

Total = $100 + $7.5 = $107.5

Marty:
Initial amount = $100
Interest rate = 2% = $\frac{2}{100} = 0.02$
Time = 3 years
I = ( 100 )( 0.02 )( 3 )
= $6

Total = $100 + $6 = $106

How much more than Marty did Lehena receive?
= Total Amount of Lehena - Total Amount of Marty
= 107.5 - 106
= $1.5

Your answer will be option B) $1.50