Write the general forms of the equations of the lines through the point (a) para

Question

Write the general forms of the equations of the lines through the point (a) parallel to the given line and (b) perpendicular to the given line. Given:

Point Line (3/4, 7/8) 5x - 3y = 0

I am not sure how they got to there final answer, this is what they did: used the line equation

(y-7/8)=5/3 (x-3/4)

3(y-y)=10(4x-3)

40x-24y-9=0 Not sure how they got there, definitely skipped a lot of in between steps lol!

Explanation / Answer

slope of line given = dy/dx so differentiating the line equation with respect to x => 5 - 3dy/dx = 0 => dy/dx =5/3 point given = (3/4,7/8) a) line is parallel to given line , so slope is same for both m = 5/3 equation of line :- y - y1 = m(x - x1) y - 7/8 = 5/3(x - 3/4) => 24y - 40x + 9 = 0 b) a) line is perpendicular to given line , so m * m1 = -1 => m1 = - 3/5 equation of line :- y - y1 = m1(x - x1) y - 7/8 = -3/5(x - 3/4)

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.