# Write an equation in standard form using only integers for theline described. Use the smallest...

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.)

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).

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