m=-1/5,(-2,1) slope intercept form

Question

must have a specificslope and contain a indicated point

 

Answer 1

The slope-intercept form is:

 

y = mx + b

 

Where m is the slope and b is the y-intercept (the point where the line crosses the y-axis).  To find the equation of a specific line, you need to find the values of m and b.  The problem gives you the value of m, m = -1/5.  So we have half of the equation already:

 

y = (-1/5)x + b

 

To find b, simply plug in the x and y values form the given point, (-2,1), and solve for b.  Remember, (-2,1) is an ordered pair, so the x value is first and the y value is second:

 

1 = (-1/5)(-2) + b

1 = 2/5 + b

1 - 2/5 = b

3/5 = b

 

So the equation is:

 

y = (-1/5)x +3/5