Question

Write an equation in slope-intercept form of the line with an x-intercept of 6 and a y-intercept of 5.
Answer

y = 6x + 5

y = -5/6 x + 5

y = -6x + 5

y = 5/6 x + 5

Answer 1

this can solved easily the equation you want is of the form
y=m x+c
where m is the slope , c is the y-intercept and so -(c/m) is the x-intercept
then the answer is
y = -5/6 x + 5

Answer 2

since you know two points that are on the line, why don't us just plug it in...