Question

What is the slope-intercept of the linear function (3,5) and (2,1)

Answer 1

The formula to find the slope of a line is m=(y2-y1)/(x2-x1).  In this question: x1=3, x2=2, y1=5, and y2=1.  Plug in and solve:

(1-5)/(2-3)=-4/-1=4=m

Slope-intercept form follows the format: y=mx+b, where m is the slope and b is the y-intercept.  We calculated m to be 4, so the equation reads:

y=4x+b

To solve for b, you can select one of the ordered pairs (we'll use (2,1)), plug them in for x and y, and solve for b:

1=4(2)+b

1=8+b

-7=b

The equation is y=4x-7.

Hope this helps!!