What is the equation for (1/2,2) (-3, -1) in standard form?

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

On the other hand, we have that the equation of a line in the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points:

We find the slope of the line:

Thus, the equation is of the form:

We substitute one of the points and find "b":

Finally, the equation is:

We convert the equation to the standard form:

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.