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3 years ago

What’s the equation for A slope =2 through the point (2,1)?

Mathematics

1 answer:

Fiesta28 [93]3 years ago

4 0

Answer:

y = 2x - 3

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 )

Here m = 2, thus

y = 2x + c ← is the partial equation of the line

To find c substitute (2, 1) into the partial equation

1 = 4 + c ⇒ c = 1 - 4 = - 3

y = 2x - 3 ← equation of line

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Problem

Ganezh [65]

Explanation is in the file

tinyurl.com/wpazsebu

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3 years ago

Suppose that y varies directly with x and y=5 when x=6. What is y when x=5? Be sure to simplify your answer.

Charra [1.4K]

Answer:

y = $\frac{25}{6}$

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 5 when x = 6

k = $\frac{y}{x}$ = $\frac{5}{6}$

y = $\frac{5}{6}$ x ← equation of variation

When x = 5, then

y = $\frac{5}{6}$ × 5 = $\frac{25}{6}$

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