.
• Write the equation
that passes through the given point and has the slope indicated:
(1, -3); with slope (-3/5)
~~~~~~~~~~~~~~~~~~~~~~
An equation of a straight line in a coordinate plane which has the slope "m" and passes through the given point P = (a,b) is
y - b = m*(x-a). (1) ( MEMORIZE it !)
Now substitute the given data m =
, a= 1, b= -3 into equation (1), and you will get
y-(-3) =
. (2)
or, equivalently,
y + 3 =
, or
5y + 15 = -3x + 3, or, finally
5y + 3x = -12.