Algebra
posted by Kristi .
Write an equation of the line containing the given point and perpendicular to the given line. Express your answer in the form y=mx+b. (2,4) 3x+y=6 The equation of line is y=, and explain how you have gotten the answer.

Algebra 
Elle
1. First you need to find the slope of the original line you are given which is 3x + y = 6. The slope is A/B so it is 3/1 or just 3, m = 3.
2. The slope of a line perpendicular is the negative reciprocal so the slope of the line perpendicular to the given line is 1/3.
3. Use point slope form with the given point to find the equation of the line first before simplifying it to y=mx+b.
Point slope form is y  y1 = m(xx1) now substitute the point
y4=1/3(x2)
4. Now distribute the 1/3: y4=1/3x  2/3
Then add 4 to the other side, make 4 into 12/3 to give it a command denominator making it easier to add.
y = 1/3x + 10/3. 
Algebra 
Kristi
Thank You so much Elle
Respond to this Question
Similar Questions

Algebra 1a
Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y = mx + b. (2,3); x + 6y = 7 The equation of the line is y =________ 
algebra 116
(3,5) 2x+y=3 .Write an equation of the line containing the given point and perpendicular to the given line. Express your answer in the form y=mx+b 
algebra
Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form Y= mx+b (6,8); x+6y=5 The equation of the line is Y= I do not how work this problem help me, please 
Algebra
Write an equation of the line containing the given point and parallel to the given line. Express yur answer in the form y=mx+b (7,9) x+4y=5 The equation of the line is y= 
algebra
Write an equation of the line containing the given point and perpendicular to the given line. express your answer in the fory y=mx+b. (8,9); 7x+y=2 the equation of the line is y=? 
algrbra 1
Write an equation of the line containing the given point and perpendicular to the given line. express your answer in the form y=mx+b. (5,7); 2x=9y+4 the equation of the line is y=? 
Algebra
graph the equation x3=y (where do I plot the points? 
Algebra
Write an equation of the line containing the given point and paralled to the given line. Express your answer in the form ymx+b (4,7); x+ 3y=8. The equation of the line is y=? 
Algebra
Write the equation of the line containing the given point and parallel to the given line. The equation of the line is y= Express your answer in the form y=mx+b. (8,9); 2x=9y+4 
algebra
Write the equation of the line containing the given point and parallel to the given line. The equation of the line is y=... Express your answer in the form y=mx+b (2,6); 8x+7y=5