math
posted by Jane .
Which of the following equations represents the equation for the line that is parallel to the given line and passes through the given point?
y= 1/5 x  10; (15, 16)
A. y = 5x +19
B. y = 1/5x + 91/5
C. y = 1/5 x  19
D. y = 5x  19
I do know that to be parallel the slopes need to be the same. Please explain how you solve this.

Since the slope must be the same, it limits it to
choices B or C, since both have 1/5 as the slope
so plug in the given point to see which one satisfies the equation 
Reiny, I'm not sure how to do that.

try it in B
y = 1/5 x + 91/5
plug in (15,16)
16 = (1/5)(15) + 91/5
16 = 3 + 91/5 , which is not true,
so it better be C
y = 1/5 x  19
16 = (1/5)(15)  19
16 = 319
16 = 16 , ahhh that's true, so it must be C 
Thank you so much for explaining it in detail. I really appreciate 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 … 
Math
How are you supposed to write an equation for the line that is parallel to the given line and that passes through the given point? 
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) 
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 … 
Algebra 1
Tell whether the lines for the pair of equations are parallel, perpendicular, or neither. Y=4/5x+3 4x5y=15 (1 point) Parallel Perpendicular*** Neither Write an equation of a line that is perpendicular to the given line and that … 
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.Write an equation in slope intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (2,2);y=x2 A.y=2x*** B.y=2x C.y=1/2x D.y=x 2.Write an equation in slope intercept … 
Algebra
1.Tell whether the sequence is arithmetic. If it is, what is the common difference? 
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? 
Math
Write an equation for the line that is parallel to the given line and passes through the given point. y=3x+4;(6,8) A. y=3x10 B. y=3x+6 C. y=3x+6 D. y=1/3x6 Tell whether the lines for each pair of equations are parallel, perpendicular, …