Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you write the equation of a line given (-3,1) and (-2,-3)?

1 Answer

Mar 12, 2018

The formula is $y=-4x-11$ .

Explanation:

To find an equation of a linear line, you need the gradient and a point's coordinate.

The general formula for gradient is $m=(y_1-y_2)/(x_1-x_2)$ ,

$m=(1-(-3))/(-3-(-2))$
$color(white)(m)=-4$

The formula of a linear equation is $y-y_1=m(x-x_1)$ ,

$y-1=-4(x-(-3))$
$y-1=-4x-12$
$y=-4x-11$

Hence, the formula is $y=-4x-11$ .

Related questions

See all questions in Write an Equation Given Two Points

Impact of this question

3915 views around the world

You can reuse this answer
Creative Commons License