Question 69562
Write the equation of the line with given slope and y-intercept. Then graph each line using the slope and y-intercept.

Slope: 5; y-intercept: (0,-2)
The slope intercept form of a line is: {{{highlight(y=mx+b)}}}, where m=slope and (0,b)=y-intercept.
slope=m=5 and y-intercept=(0,b)=(0,-2)
y=5x+(-2)
{{{highlight(y=5x-2)}}}
To graph this, plot the y-intercept (0,-2) at -2 on the y-axis (The vertical one.)
From that point, use the slope,m=rise/run=5/1.  Go up 5 units and right one unit and plot another point at what should be, (1,3).
Connect the two points and you should have a line that looks like:
{{{graph(300,200,-10,10,-10,10,5x-2)}}}
Happy Calculating!!!!