Equation of a line

Question

If the equation of a line goes through the points (9,10) and (7,7) can be written in general form ax+by+c=0 where a,b,c are integers with no common factors and a is greater than or equal to 0. If this is done then

a=

b=

c=

Answer 1

Step 1:

The line passing through points are .

Find the slope .

Substitute in the slope formula.

The slope is .

Find the equation of a line in the general form of .

The line equation in slope intercept form is .

Substitute and in the line equation.

The equation of a line is

Hence, compare line equation in the coefficients of general form is .

Solution: