Question

Write the equation of the line that passes through the given points (0,1) (-7,-5)

Answer 1

Answer:

Step-by-step explanation:

Answer 2

ANSWER:  

The line equation that passes through the given points (0,1) (-7,-5) is 6x – 7y + 7 = 0.

SOLUTION:

Given, two points are A(0, 1) and B(-7, -5).

We need to find the line equation that passes through the given two points.

We know that, general equation of a line passing through two points $\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right),\left(\mathrm{x}_{2}, \mathrm{y}_{2}\right)$ is given by

$y-y_{1}=\left(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\right)\left(x-x_{1}\right)$ --- 1

Here,in our problem $\mathrm{x}_{1}=0, \mathrm{y}_{1}=1, \mathrm{x}_{2}=-7 and \mathrm{y}_{2}=-5$

Now substitute the values in (1)

$y-1=\left(\frac{-5-1}{-7-0}\right)(x-0)$

$y-1=\frac{-6}{-7}(x)$

$y-1=\frac{6}{7} x$

7y – 7 = 6x

6x – 7y + 7 = 0

Hence, the line equation that passes through the given points is 6x – 7y + 7 = 0.