Question 61013
how do i write the equation of the line with slope 4 and y-intercept (0, –5).  Then graph the line.

The slope intercept form of a line is {{{highlight(y=mx+b)}}}, m=slope, and (0,b)=y-intercept.
Your m=4 and b=-5
{{{y=4x-5}}}
To graph the line put a point on the y axis at -5.
From that point use the slope=rise/run=4/1.  Go up 4 and right 1 plot another point. (This should be (1,-1) if you did it right.)
Connect the points and you have a line.
{{{graph(300,200,-10,10,-10,10,4x-5)}}}
Happy Calculating!!!