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3 years ago

Find the equation of the line.

Mathematics

1 answer:

s2008m [1.1K]3 years ago

8 0

Answer:

y = $-\frac{1}{3}x+5$

Step-by-step explanation:

Let the equation of the given line is,

y = mx + b

where 'm' = slope of the line

b = y-intercept of the line

Since slope of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is represented by,

m = $\frac{y_2-y_1}{x_2-x_1}$

If the points are (0, 5) and (-3, 6),

Slope of the line 'm' = $\frac{6-5}{-3-0}$

= $-\frac{1}{3}$

y-intercept of the line 'b' = 5

Therefore, equation of the given line will be,

y = $-\frac{1}{3}x+5$

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Read 2 more answers

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Grace [21]

Answer:

Step-by-step explanation:

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3 years ago

Emmanuel added two integers Which condition will always give Emmanuel a negative solution when he adds two integers? Both intege

alexgriva [62]

Both integers have negative values

Explanation

Let

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$\begin{gathered} +\text{ + +} \\ +\text{ + -} \\ -\text{ + +} \\ -\text{ +-} \end{gathered}$

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c)One integer has a positive value, and one integer has a negative value

$\begin{gathered} -x+y\text{ or x-y} \\ the\text{ sign of the result depends on the greates absolute value, it means the answer will have the same of the bigger number( absolute value)} \end{gathered}$

d)The values of the two integers are opposites

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$\begin{gathered} 8-5=3\text{ positive because 8 is the bigger} \\ 5-8=-3\text{ negative because (-8) is has the bigger absolute value} \end{gathered}$

so, the answer is Both integers have negative values

I hope this helps you

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