Question

Find an equation (in term of x) of line through the points (-1,3) and (1,4)

Answer 1

ANSWER

The equation is
$2y - x = 7$


EXPLANATION

The equation of the line that passes through the point (-1,3) and (1,4) can be found using the formula,

$y-y_1=m(x-x_1)$

where

$m = \frac{4 - 3}{1 - - 1}$

$m = \frac{1}{2}$
is the slope and

$(x_1,y_1)$
is a point on the line.



The equation of the line becomes,


$y - 4 = \frac{1}{2} (x - 1)$


Multiply through by 2 to get,.

$2y - 8 = x - 1$

Or

$2y - x = 7$