Question

A line passes through point 6, 1 and has a slope of 43. Write an equation in =+AxByC form for this line. Use integers for A, B, and C.

Answer 1

4x-3y=21.

Explanation:

1) the common view of slope-interception form is y=slope*x+interception;

2) if according to the condition the slope=4/3, then the required equation is

`y=(4)/(3)x +interception;`

3) in order to calculate the interception it is enough to substitute the given coordinates into this equation:

`1=6*(4)/(3) +interception; \ = > \ interception=-7;`

4) the slope interception form of the required equation is:

`y=(4)/(3)x-7;`

5) if to re-write the equation in slope-interception form into the required, then (A=4; B=-3; C=21):

4x-3y=21.