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

Answer:

4x-3y=21.

Step-by-step 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

$y=\frac{4}{3}x +interception;$

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

$1=6*\frac{4}{3} +interception; \ = > \ interception=-7;$

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

$y=\frac{4}{3}x-7;$

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

4x-3y=21.