Find the standard form of the equation of the line that passes through (0,1) and (4,6)

For this case we have that by definition, the standard form of a linear equation is given by:

By definition, the slope of a line is given by:

We have as data that the line searched goes through the following points:

Then, the slope is:

Thus, the equation in the slope-intersection form will be given by:

We substitute one of the points to find the cut-off point with the y-axis, that is, "b":

Thus, the equation is:

We manipulate algebraically:

The standard form of the requested equation is:

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)

the correct answer is x/3+10≥32

hope this !