A line passes through (6 ,4 )(6,4) and (9 ,0 )(9,0). A second line passes through (3 ,4 )(3,4). What is one other point that the second line may pass through if it is parallel to the first line?

1 Answer
sankarankalyanam
Jun 23, 2018

color(green)("One other point on the second line is " (6, 0)One other point on the second line is (6,0)

Explanation:

"Slope of line 1 " = m = (y_2 - y_1) / (x_2 - x_1) = (0-4) / (9-6) = -4/3Slope of line 1 =m=y2−y1x2−x1=0−49−6=−43

As 2^(nd)2nd line is parallel to the first line, slope of second line also -4/3−43

#"Equation of second line in point - slope form is "

(y - 4) = -4/3 * (x - 3)(y−4)=−43⋅(x−3)

3y - 12 = -4x + 123y−12=−4x+12

4x + 3y = 244x+3y=24

Let y = 0. Then x = 6#

color(green)("One other point on the second line is " (6, 0)One other point on the second line is (6,0)

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