Question

The graph of a linear function intersects with the x axis at a point with an abscissa of 4 and with the y axis at a point with an ordinate of 11. Write the formula of the function.

Answer 1

we know that

points are
x intercept
A (4,0)

y intercept
B (0,11)

step 1
find the equation of a line
m=(y2-y1)/(x2-x1)--------> m=(11-0)/(0-4)------> m=-11/4

with m and the point B (0,11)
y-y1=m*(x-x1)
y-11=(-11/4)*(x-0)---------> y=-(11/4)x+11

the answer is
the formula of the function is
y=-(11/4)x+11

see the attached figure