Mathematics, 09.12.2020 06:30 Thejollyhellhound20

Which equation describes a line with a slope of -1/2 that contains the point (-5, 2)? A. x + 2y = 1
B. x - 2y = -1
C. x - 2y = 1
D. x + 2y = -1

Answers: 2

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Answer from: vivi297

The equation x + 2y = -1 describes a line with a slope of -1/2 that contains the point (-5, 2) ⇒ D

Step-by-step explanation:

The slope of the linear equation of the form ax + by = c is m = $\frac{-a}{b}$ , where a and b are integers

Let us use this rule to solve the question

The slope of the line is $-\frac{1}{2}$ and the line contains the point (-5, 2)

We want to find which equation has the same slope and contains the point

∵ x + 2y = 1

∴ a = 1 and b = 2

→ Use the rule above to find m

∴ m = $\frac{-1}{2}$

∴ The line has the same slope

→ Let us find if the line contains the point (-5, 2), by substituting x by -5

and y by 2 in the left side of the equation if the answer equals

the right side, then the line contains it

∵ L.S = -5 + 2(2) = -5 + 4 = -1

∵ R.S = 1

∴ L.S ≠ R.S

∴ The line does not contain the point (-5, 2)

∵ x - 2y = -1

∴ a = 1 and b = -2

→ Use the rule above to find m

∴ m = $\frac{-1}{-2}$ = $\frac{1}{2}$

∴ The line does not have the same slope

∵ x - 2y = 1

∴ a = 1 and b = -2

→ Use the rule above to find m

∴ m = $\frac{-1}{-2}$ = $\frac{1}{2}$

∴ The line does not have the same slope

∵ x + 2y = -1

∴ a = 1 and b = 2

→ Use the rule above to find m

∴ m = $\frac{-1}{2}$

∴ The line has the same slope

→ Substitute x by -5 and y by 2 in the left side

∵ L.S = -5 + 2(2) = -5 + 4 = -1

∵ R.S = -1

∴ L.S = R.S

∴ The line contains the point (-5, 2)

The equation x + 2y = -1 describes a line with a slope of -1/2 that contains the point (-5, 2)

Answer from: Quest

step-by-step explanation:

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55898

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8/95

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(80 points for all these questions) if you could for all these and you

Answer from: Quest

the above table 1 will calculate the population size (n) after a certain length of time (t). all you need to do is plug in the initial population number (no), the growth rate (r) and the length of time (t). the constant (e) is already entered into the equation. it stands for the base of the natural logarithms (approximately 2.71828). growth rate (r) and time (t) must be expressed in the same unit of time, such as years, days, hours or minutes. for humans, population growth rate is based on one year. if a population of people grew from 1000 to 1040 in one year, then the percent increase or annual growth rate is 40/1000 x 100 = 4 percent.

step-by-step explanation:

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Which equation describes a line with a slope of -1/2 that contains the point (-5, 2)? A. x + 2y = 1...