Question

Write the equation of a line in slope intercept form that passes through (2,4) and (-7,8)

Answer 1

y = -4/9x + 44/9

Explanation:

First find the slope

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

m = ( 8-4)/( -7-2)

= 4/-9

= -4/9

The slope intercept form is

y = mx+b

y = -4/9 x+b

Substitute a point into the equation

4 = -4/9 * 2 +b

4 = -8/9+b

36/9 = -8/9 +b

Add 8/9 to each side

36/9 + 8/9 = -8/9 + 8/9 +b

44/9 = b

y = -4/9x + 44/9