# Analytic Geometry

posted by .

write the equation of a line through (4,1) and:
A. parallel
B. perpendicular to the line through (7,3) and (5,-1).

=Express the equation in 5 different forms.

• Analytic Geometry -

A. The line through (7,3) and (5,-1)has slope
m = (y2-y1)/(x2-x1) = (-4)/(-2) = 2

To pass through (4,1) and be parallel to the given line, the equation must be
(y-1)/(x-4) = 2
y - 1 = 2x -8
y = 2x -7

I don't see why they need 5 variations of that. I'll leave that up to you.

One could be 2x -y = 7

B) To be perpendicular to the given line, the slope must be m = -1/2.

Proceed as in part A.

## Similar Questions

1. ### Geometry

How do I write an equation of a line perpendicular to the graph of -2y + x =-5 that passes through the point at (1,2) Given the line -2y + x =-5, solve for y so the equation is in this form: y = mx + b Once you know the slope, m, you …
2. ### Algebra 1

Write an equation in slope-intercept form for a line that passes through the given point and is perpendicular to the given line. 1. y=3;(4,-2) The y = 3 line is parallel to the x axis so the perpendicular line you want is parallel …
3. ### Algebra II

Can you make sure my Algebra II work is correct?
4. ### Pre- Algebra

Given an equation of a line, how do I find equations for lines parallel to it going through specified points Simplifying the equations into slope-intercept form. 1. y= -2x -4; (1, 3) how do I write the equation of a line parallel to …
5. ### MAT221

consider the line 8x-5y=-4 find the equation of the line that is perpendicular to this line and passes through the point (-4,-4) find the equation of the line that is parallel to this line and passes through the point (-4, -4) i keep …
6. ### geometry

I would love for someone to check my work on the seven problems that I did. I would be eternally grateful. I am going to list my problems and answers. Even if you only want to check one of them, that would be great. 1. Write an equation …
7. ### precalc

write a linear equation to fit each situation or description. 1) the line through (2,4) parallel to the x axis. 2) the line through (2,4) perpendicular to the x axis. 3) the line through (3,1) perpendicular to y=4x-3. 4) the line through …
8. ### precalc

write an equation to match each description. 1) a snowball is 8 cm across and melting so that its diameter is decreasing at a steady rate of 0.2 cm/min. write an equation for d(t), the length of the snowball's diameter at time t. answer: …
9. ### Analytic Geometry

A line Q has an equation of x+5y+5=0. Find the equation of the line that is "perpendicular" to Q an passes through (3,1). Find the equation of the line that is "parallel" to Q and passes to through (3,1). Find the equation of the line …
10. ### 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 …

More Similar Questions