Mathematics: Write an equation in standard form for the line that passes through the given points (0,-3) and (7,0)

602.93Step-by-step explanation: multiply 2,300 by .8 to get the value after one year then multiply the product by .8 over and over six times....

Write an equation in standard form for the line that

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miguegen6225

08.01.2022

Mathematics

The equation in standard form that passes through (0, -3) and (7, 0) is 3x – 7y = 21

Solution:

Given, two points are (0, -3) and (7, 0)

We have to find that a line that passes through the given two points in standard form.

First let us find the slope of the line that passes through given two points.

The slope of the line "m" is given as:

$\mathrm{m}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \text { where, }\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right) \text { are two points on line. }$

$\text { So slope of our line }=\frac{-3-0}{0-7}=\frac{-3}{-7}=\frac{3}{7}$

Now, let us find the line equation using point slope form:

$\mathrm{y}-\mathrm{y}_{1}=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_{1}\right) \text { where } \mathrm{m} \text { is slope and }\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right) \text { is point on the line. }$

$\text { Then, line equation } \rightarrow y-0=\frac{3}{7}(x-7)$

7(y – 0) = 3(x – 7)

7y = 3x – 21

3x – 7y = 21

Hence, the line equation in standard form is 3x – 7y = 21.

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Write an equation in standard form for the line that passes through the given points (0,-3) and (7,0)

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