Question

Determine the equation of the line that passes through the points:

(2, 4) and (6, -4)

Fill the the blanks: y = _x + _

Answer 1

y = -2x+8

Explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

= ( -4-4)/(6-2)

= -8/4

= -2

The slope is -2

We can use the slope intercept form

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

y = -2x +b

Using the point ( 2,4)

4 = -2(2) +b

4 = -4+b

Add 4 to each side

4+4 = -4+4+b

8 = b

y = -2x+8