Question 401922
The given points are (4,0) and (0, 9)
The slope is (change in y)/(change in x)
slope = {{{(9 - 0) / (0 - 4) = -9/4}}}
In the form {{{y = mx + b}}}, {{{m}}} is the slope
and {{{b}}} is the y-intercept, so the equation  is
{{{y = -(9/4)*x + 9}}}
To check the answer, plug in (4,0) and (0,9)
first,
{{{0 = -(9/4)*4 + 9}}}
{{{0 = -9 + 9}}}
{{{0 = 0}}}
OK, and
{{{9 = -(9/4)*0 + 9}}}
{{{9 = 9}}}
OK