Question 1054454
The slope-intercept form of
a linear equation is:
{{{ y = m*x + b }}}
{{{ m }}} = slope
{{{ b }}} = y-intercept
--------------------------
You are given:
{{{ m = 3 }}}
So far you have:
{{{ y = 3x + b }}}
--------------------------
Plug in the given point:
( -5, 4 )
{{{ 4 = 3*(-5) + b }}}
{{{ 4 = -15 + b }}}
{{{ b = 19 }}}
--------------------------
The equation is:
{{{ y = 3x + 19 }}}
---------------------------
check:
( -5,4 )
{{{ 4 = 3*(-5) + 19 }}}
{{{ 4 = -15 + 19 }}}
{{{ 4 = 4 }}}
OK