point (0,5) with a slope of -3 what is this in slope intercept form

Question

given the point (0,5) and has a slope of -3, what is the slope intercept form?

 

Answer 1

Drew,

 

 Slope-intercept form of the equation of a line is

 

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

 

we know from the info that m=-3. So, we have

 

y=-3x+b.

 

To find b, we know that, given the point (0,5) , when x=0, y=5. So plugging in those values for x and y yields

 

5=-3(0)+b.  So, b=5. Thus, our equation is

 

 

y=-3x+5