precalculus
posted by tinathomas .
Find (a) the equation of a line that is parallel to the given line and includes the given point, and (b) the equation of a line that is perpendicular to the given line through the given point. Write both answers in slopeintercept form. (c) Graph both of these lines on the same axes and submit your graph. Please show all of your work.
y = 2x + 3, (2, 3)

Just use the pointslope form and then rearrange terms to slopeintercept form:
The line through (2,3) with slope 2:
(y(3))/(x(2)) = (y+3)/(x+2) = 2
The other line has slope 1/(2) = 1/2.
Go for it.
Respond to this Question
Similar Questions

Algebra 1
Write an equation in slopeintercept 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 … 
Algebra
graph the equation x3=y (where do I plot the points? 
Math 116
1.Write an equation of the line containing the given points and parallel to the given line (3,8); x+5y=3 2. Write an equation of the line containing the given points and parallel to the given line (3,6); 5x=9y+2 3. Write an equation … 
Math 116
1.Write an equation of the line containing the given points and parallel to the given line (3,8); x+5y=3 2. Write an equation of the line containing the given points and parallel to the given line (3,6); 5x=9y+2 3. Write an equation … 
college alg
Find (a) the equation of a line that is parallel to the given line and includes the given point, and (b) the equation of a line that is perpendicular to the given line through the given point. Write both answers in slopeintercept … 
Calculus
Write an equation of the line that passes through the point (i) parallel to the given value, and (ii) perpendicular to the given line. Point(7,1) Line(5x5y=90) 
algebra
write the equation of a line parallel to the given line but passing through the given point y=x+4;(7,1) discuss the steps necessary to carry out each activity. describe what each line looks like in relation to the original given line 
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 slopeintercept form. 1. y= 2x 4; (1, 3) how do I write the equation of a line parallel to … 
math
I need help with "write in equation in slopeintercept form for the line that is parallel to to the given line line and and that passes through the given point. y=1/2x=5;(4,3) How do you find a line that is perpendicular. Please and … 
Algebra 1
Algebra 1 help please :( Use the pointslope from linear equation given to complete the following problems.... y+4=4(x2) 1. What is the slope of the given line?