Question 110298
Question:

how would you do the problem slope:3/2, y intercept:-4

Answer:

The slope intercept form of line is given by,

{{{ y = mx + b}}} where m is the slope and b is the y-intercept.


Here it is given that,

slope, {{{ m = 3/2}}}


And y-intercept = -4


So the equatio is given by,


{{{ y = (3/2)*x + (-4)}}}



{{{ y = (3/2)*x - 4 }}}


Which is the required equation.

You can further simplify this as follows...



Multiply through out by 2


==> {{{ 2* y = 2*(3/2)*x  -2*4}}}



==> {{{ 2y = 3x -8 }}}


Further.... subtract 3x from both sides...


==> {{{ 2y - 3x  = 3x -8 - 3x}}}


==> {{{ 2y - 3x  = -8 }}}


 

Hope you found the explanation useful.


Regards.


Praseena..