If a line has the same slope and half the y-intercept of line x+y-3=0, how do you find the equation of that line in slope intercept form?

Oct 4, 2015

$y = \left(- 1\right) x + \frac{3}{2}$

Explanation:

$x + y - 3$ can be written in slope intercept form as $y = \left(- 1\right) x + 3$

A line with the same slope will have a slope of $\left(- 1\right)$
and with half the y-intercept will have a y-intercept of $\frac{3}{2}$
So that line's slope-intercept form will be
$\textcolor{w h i t e}{\text{XXX}} y = \left(- 1\right) x + \frac{3}{2}$