# Algebra

Name the line which have the following characteristics:
1) Passes through (2,3) & (0,-9)
2) Perpendiculat to the line 4x-2x=7 and through (1,-3)
3) Perpendicular to the segments with endpoints (2,1) & (-4,-1) and through the midpoint of the segment.

If possible show some quick work (not the full process)
thank you!!

1. 👍 0
2. 👎 0
3. 👁 91
1. 1. slope = (3+9)/2-0) = 6
so (y-3)/(x-2)=6
cross-multiply, rearrange for a suitable version of the equation

2. slope of give line = 2, so slope of new line is -1/2
then (y+3)/(x-1) = -1/2
cross-multiply, rearrange for a suitable version of the equation

3. midpoint of segment = ((2-4)/2,(1-1)/2) = (-1,0)
slope of given segment = 1/3
so slope of new line = -3
so (y-0)/(x+1) = -3
cross-multiply, rearrange for a suitable version of the equation

1. 👍 0
2. 👎 0
posted by Reiny

## Similar Questions

1. ### Math 101

Find the equation for each of the following items below: a. A line that passes through (6,26) and has a slope of 3. b. A line that passes though the points (5,5) and (10,20) c. A line that passes through (9,25) and has a slope of

asked by SEMA , Need Help on March 23, 2010
2. ### Maths (Tangents and Normals)

curve y = (x^2) - 4x + 5 is tangent perpendiculat to the (line = 2y + x - 7 = 0)

asked by Sykox on January 16, 2014
3. ### Math

This question concerns the straight line that passes through the points (−1, 3) and (2, −6). Choose the three true statements from the following. Options A The gradient of the line is 3. B The gradient of the line is −3. C

asked by S Rey on June 5, 2010
4. ### Mathamatics

This question concerns the straight line that passes through the points (−1, 3) and (2, −6). Choose the three true statements from the following. Options A) The gradient of the line is 3. B) The gradient of the line is −3.

asked by S Rey on June 6, 2010
5. ### Math

Find the slope of a line perpendiculat to the line y=1/2x+7

asked by RERE on February 10, 2010
6. ### Algebra

Write a slope-intercept equation for a line with the given characteristics: m = 2/3 passes through (-4,-5) I got an answer but would like to compare to see what someone else gets. Thanks!

asked by Jen on June 9, 2009
7. ### mat 101

Equation for a line that passes through (6,26) and has a slope of 3 Equation for a line that passes through the points (5,5) and (10,20) Equation for a line that passes through (9,25) and has a slope of -3. Equation for a line

asked by keith on June 26, 2010
8. ### Algebra II

Can you make sure my Algebra II work is correct? I've done the problems. I just want to make sure I am right. 1. Write an equation of the line with a slope of 5 and a y-intercept of -3. y=5x-3 2. Write the equation of a line that

asked by Andrea on October 4, 2012
9. ### Analytic Geometry

A line Q has an equation of x+5x+5=0. Find the equation of the line that is "perpendicular" to Q and passes through (3,1). Find the question of the line that is "parallel" to Q and passes to through (3,1). Find the equation of the

asked by Kimbaza on November 18, 2015
10. ### precalc

I;m not sure if i am doing this right...I keep getting a negative intersection point, which doesn't seem possible. Please help! a) find the equatoin of line 1 which passes through (1,3) and (9,7) I get y=3+1/2(x+1)or y=1/2x+2.5 b)

asked by Anonymous on September 10, 2012

More Similar Questions