Solusi - Menemukan garis paralel menggunakan mode intersep kemiringan

y = - 10 x - 11

y=-10x-11

Lihat langkah

Penjelasan langkah demi langkah

1. Find the slope $(m)$

The $m$ in slope-intercept form, $y = m x + b$ , represents the slope:

$y = - 10 x + 1$
$m = - 10$

Lines that are parallel to one another have the same slope.

2. Find the y intercept $(b)$ of the equation of the parallel line

Plug the coordinates of the point $(x, y)$ and the slope $(m)$ into the line intercept form, $y = m x + b$ and solve for $b$ :

$x = - 1$
$y = - 1$
$m = - 10$

$y = m x + b$

$- 1 = - 10 \cdot - 1 + b$

$- 1 = 10 + b$

$- 1 - 10 = b$

$- 11 = b$

$b = - 11$

3. Find the equation of the parallel line using slope-intercept form

plug $m$ and $b$ into the slope-intercept form, $y = m x + b$ :

$m = - 10$
$b = - 11$
$y = - 10 x - 11$

The equation of the parallel line is $y = - 10 x - 11$

4. Graph

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Alasan mempelajari materi ini

Whether they are horizontal, vertical, diagonal, parallel, perpendicular, intersecting, or tangent lines, it is a fact of life that straight lines are everywhere. Chances are, you know what a line is, but it is also important to understand their formal definition in order to better understand the various problems that involve them.
A line is a one-dimensional figure, with a length but no width, that connects two points. After points, lines are the second smallest building blocks of shapes, which are essential for understanding our world and the spaces we find ourselves in. Additionally, understanding the slope, direction, and behavior of different types of lines is necessary for graphing and understanding certain types of information, an important skill across many industries.

Solusi - Menemukan garis paralel menggunakan mode intersep kemiringan

Penjelasan langkah demi langkah

1. Find the slope $(m)$

2. Find the y intercept $(b)$ of the equation of the parallel line

3. Find the equation of the parallel line using slope-intercept form

4. Graph

Alasan mempelajari materi ini

Istilah dan topik

Tautan terkait

Solusi - Menemukan garis paralel menggunakan mode intersep kemiringan

Penjelasan langkah demi langkah

1. Find the slope (m)

2. Find the y intercept (b) of the equation of the parallel line

3. Find the equation of the parallel line using slope-intercept form

4. Graph

Alasan mempelajari materi ini

Istilah dan topik

Tautan terkait

Latihan Terkait Terbaru Dipecahkan

1. Find the slope $(m)$

2. Find the y intercept $(b)$ of the equation of the parallel line