find the slope-intercept form for the line satisfying the following conditions: x-intercept 3, y-intercept 2/3

1 answer

y = m x + b
when y= 0, x = 3
when x = 0, y = 2/3
so
2/3 = 0 + b or b = 2/3
y = m x + 2/3
then
when y = 0 , x = 3
0 = m (3) + 2/3
m = - 2/9
so
y = -2/9 x + 2/3
or
9 y = -2 x + 6