Thread: equation and slope of lines

Find the equation of each line. Write each answer in slope intercept form.

1.) The line goes through (1,2) and is perpendicular to y=1/2x-3



2.) The line goes through (2,3) and is parallel to -2x+y=6

Originally Posted by jsimms

Find the equation of each line. Write each answer in slope intercept form.

1.) The line goes through (1,2) and is perpendicular to y=1/2x-3



2.) The line goes through (2,3) and is parallel to -2x+y=6

How are the slopes of perpendicular lines related.



They are negative reciprocals

the negative reciprocal of 1/2 is -2 or using the above formlua



now using the point and the slope we get



If lines are parallel they have the same slope.

Try putting the above line in y=mx+b form.

I hope this helps.

Good luck.

In response to your second situation, note that parallel lines have the same slope.

Therefore, -2x + y = 6 is equivalent to y = 2x + 6. The slope (m) = 2

Use point-slope form again with (2, 3) and m = 2, we have:

(y - 3) = 2(x - 2)

You may want to convert this one to y =mx + b or ax + by = c.