SOLUTION: Find an equation of the the line satisfying the given conditions. Through (10, -5); undefined slope

Algebra.Com
Question 201420: Find an equation of the the line satisfying the given conditions.
Through (10, -5); undefined slope

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
First, if a line has an "undefined " slope, then the line is vertical, thus it has no y-intercept (unless, of course, the line is right on the y-axis).
Starting with the slope-intercept form of the equation for a line, (y = mx+b), you know that the y-intercept (b) will be zero.
So the equation of the vertical line that passes through the point (10, -5) is:

To graph this equation, you can use any point that has an x-coordinate of 10. The y-coordinate can be any number you choose, and you can see, when you graph this line, that it is vertical (slope is undefined) and that it passes through the point (10, -5).

RELATED QUESTIONS

Find an equation of the line satisfying the given conditions. Through the orgin with... (answered by stanbon)
Find an equation of the line satisfying the given conditions. Write the equation in... (answered by jim_thompson5910)
Find an equation of the line that satisfies the given conditions. Through (−7, 2); (answered by ikleyn)
Find an equation of the line satisfying the given conditions. Through (0, 2);... (answered by jim_thompson5910)
Find an equation of the line satisfying the given conditions. Through (0,2); m =... (answered by Earlsdon)
Find an equation of the line satisfying the conditions given: Parallel to 3x – y = -5... (answered by Alan3354)
Find the equation of the line satisfying the given conditions. Then give the slope of the (answered by stanbon)
find the slope of the line that passes through (-3,1) and (2,-6). find an equation of... (answered by jim_thompson5910,MathLover1)
WRITE AN EQUATION IN SLOPE INTERCEPT FORM OF THE LINE SATISFYING THE GIVEN CONDITIONS.... (answered by AnlytcPhil)