Write an equation in point slope form that passes through the given points 1. (2,-2) (5,7) 2. (6,4) (2,1) write an equation in standard form that passes through the given points (0,3)(2,-3) (1,-1) (4,2)

1.

Point-slope form of the equation of a straight line is:

(1)

The two points in this case are:

Slope of the line is given by:

Substituting into eq.(1), we find:

2.

Point-slope form of the equation of a straight line is:

(1)

The two points in this case are:

Slope of the line is given by:

Substituting into eq.(1), we find:

3.

Standard form of the equation of a straight line is:

with a, b, c integer numbers.

Let's start by finding the point slope form first.

Point-slope form of the equation of a straight line is:

(1)

The two points in this case are:

Slope of the line is given by:

Substituting into eq.(1), we find:

Now we can re-arrange the equation to re-write it in standard form:

4.

Standard form of the equation of a straight line is:

with a, b, c integer numbers.

Let's start by finding the point slope form first.

Point-slope form of the equation of a straight line is:

(1)

The two points in this case are:

Slope of the line is given by:

Substituting into eq.(1), we find:

Now we can re-arrange the equation to re-write it in standard form: