Answer:
<h2>2x + 3y = 5</h2>Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
Let
then
We have the equation of a line:
Convert to the slope-intercept form:
<em>subtract 2x from both sides</em>
<em>divide both sides by 3</em>
therefore the slope is
Put the value of the slope and the coordinates of the point (-2, 3) to the equation of a line:
<em>subtract 4/3 from both sides</em>
Finally:
Convert to the standard form (Ax + By = C):
<em>multiply both sides by 3</em>
<em>add 2x to both sides</em>
Let .
Lines <em>k</em> and <em>l</em> are parallel iff
We have the equation:
then the equation of a line parallel to given lines has the equation:
Put the coordinates of the point (-2, 3) to the equation:
Finally: