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What is the equation of the line that passes through the point
(3,5) and has a slope of -1 ?
Answer:

What is the equation of the line that passes through the point $(3,5)$ and has a slope of $-1$ ? $\newline$ Answer:

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Write the equation of a linear function

Full solution

Q. What is the equation of the line that passes through the point

(3,5)

and has a slope of

-1

?

\newline

Answer:

Identify slope and point: Identify the slope $m$ and the point $(x, y)$ through which the line passes. $\newline$ We have: $\newline$ Slope $m$ : $-1$ $\newline$ Point: $(3,5)$ $\newline$ We will use the slope-intercept form of a line, which is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
Solve for y-intercept: Use the point $(3,5)$ to solve for the y-intercept $(b)$ . We know that when $x = 3$ , $y = 5$ , and $m = -1$ . We can substitute these values into the slope-intercept equation to find $b$ . $5 = (-1)(3) + b$ $5 = -3 + b$ $5 + 3 = b$ $8 = b$
Write line equation: Write the equation of the line using the slope $m$ and the y-intercept $b$ . We have: Slope ( $m$ ): $-1$ y-intercept ( $b$ ): $8$ Substitute $-1$ for $m$ and $8$ for $b$ in the equation $b$ $0$ . The equation of the line in slope-intercept form is $b$ $1$ , which can be simplified to $b$ $2$ .

More problems from Write the equation of a linear function

Question

What is the domain of this function?

\newline

(9,–2)(6,–10)(–3,9)(5,2)

\newline

\newline

(A)\{–3,5,6,9\}\newline(B)\{–10,–2,2,9\}\newline(C)\{2,5,6,9\}\newline(D)\{–6,–3,5,9\}

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Question

Look at this set of ordered pairs:

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Question

Use the following function rule to find

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f(11) =

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Question

Find the slope of the line

y = -3x - \frac{2}{5}

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Question

A line has a slope of

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and passes through the point

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\newline

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Question

What is the range of this function?

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Posted 9 months ago

Question

g(x)

g(x)

is the translation

1

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\newline

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a

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Question

What is the domain of this function?

\newline

(8,–1)(7,–11)(–4,10)(4,3)

\newline

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(A)\{–4,4,7,8\}\newline

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Question

What is the domain of this function?

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(10,\,–3)(2,\,–9)(–5,\,8)(3,\,1)

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[\{–5,2,3,10\}][\{–9,\,–3,1,8\}][\{1,2,3,10\}][\{–10,\,–5,2,3\}]

Posted 7 months ago

Question

What is the domain of this function?

\newline

(1,–4)(9,–12)(–6,11)(7,5)

\newline

\newline\\(A)\{–6,1,7,9\}\newline

(B)\{–12,–4,5,11\}\newline

(C\{5,1,7,9\}\newline

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