Question

Write an equation in standard form using only integers for the line described. Use the smallest possible positive integer coefficient for x. Then make a sketch. The line perpendicular to x−3y=7 and containing (−3,4).

The equation in standard form using only integers is ______? (Type an equation. Simplify your answer.)

Answer 1

SOLUTION :

Line : x - 3y = 7

=> y = x/3 - 7/3 

Its slope = 1/3 

Slope of line perpendicular to it = -1 / (1/3) = - 3 .

So, equation of perpendicular line is :

y = - 3x + c 

Since point (-3, 4) is on this line,

4 = - 3(-3) + c

=> c = 4 - 9 = - 5 

So, equation of perpendicular line is :

y = - 3x - 5 

In standard form equation is :

3x + y = - 5 (ANSWER).

So,

x-intercept is (at y = 0) : x = - 5/3 

y-intercept is (at x = 0) : y = - 5 .

Plot these points and draw a line through  these points. It is the graph of the perpendicular line.  Use demos.com to check. (ANSWER).

Answer 2