Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the equation of the line that passes through the point
(7,2) and has a slope of 1 ?
Answer:

What is the equation of the line that passes through the point $(7,2)$ and has a slope of $1$ ? $\newline$ Answer:

View step-by-step help

View step-by-step help

Write the equation of a linear function

Full solution

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

(7,2)

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: $(7, 2)$ $\newline$ We will use the slope-intercept form of a line, which is $y = mx + b$ , to find the equation of the line.
Use point to find y-intercept: Use the point $(7, 2)$ to solve for the y-intercept $(b)$ . We will plug $x = 7$ , $y = 2$ , and $m = 1$ into the equation $y = mx + b$ and solve for $b$ . $2 = 1 \times 7 + b$ $2 = 7 + b$ $2 - 7 = b$ $(b)$ $0$
Write equation of line: Write the equation of the line using the slope ( extit{m}) and the y-intercept ( extit{b}) that we have found. $\newline$ We have: $\newline$ Slope ( extit{m}): $1$ $\newline$ y-intercept ( extit{b}): $-5$ $\newline$ The equation of the line in slope-intercept form is $y = mx + b$ . $\newline$ Substitute $m = 1$ and $b = -5$ into the equation. $\newline$ $y = 1x - 5$

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\}

Posted 1 month ago

Question

Look at this set of ordered pairs:

\newline

(2, 14)

\newline

(10, 12)

\newline

(3, -19)

\newline

Is this relation a function?

\newline

\newline

\text{[[yes]}

\text{[no]]}

Posted 1 month ago

Question

Use the following function rule to find

f(11)

\newline

f(x) = -10 - 7x

\newline

f(11) =

Posted 1 month ago

Question

Find the slope of the line

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

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

\_\_\_\_\_

Posted 1 month ago

Question

A line has a slope of

3

and passes through the point

(-2,-10)

. Write its equation in slope-intercept form.

\newline

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Posted 1 month ago

Question

What is the range of this function?

\newline

\newline

\newline

\text{all real numbers}

\newline

\{y \mid y \geq 0\}

\newline

\{y \mid y \leq 0\}

\newline

\{y \mid y > 0\}

Posted 2 months ago

Question

g(x)

g(x)

is the translation

1

f(x) = |x|

\newline

Write your answer in the form

a|x - h| + k

a

h

k

\newline

g(x) =

\newline

Posted 2 months ago

Question

What is the domain of this function?

\newline

(8,–1)(7,–11)(–4,10)(4,3)

\newline

\newline

(A)\{–4,4,7,8\}\newline

(B)\{–11,–1,3,10\}\newline

(C)\{3,4,7,8\}\newline

(D)\{–7,–4,4,8\}

Posted 3 months ago

Question

What is the domain of this function?

\newline

(10,\,–3)(2,\,–9)(–5,\,8)(3,\,1)

\newline

\newline

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

Posted 1 month 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

(D)\{–9,–6,1,7\}

Posted 1 month ago