A line passes through #(3 ,2 )# and #(7 ,3 )#. A second line passes through #(1 , 1 )#. What is one other point that the second line may pass through if it is parallel to the first line?

Question

1881 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-19T08:06:17

One other point on the second line is #color(maroon)(5,2)#

Slope of a line #m = (y_2-y_1)/ (x_2-x_1)#

Slope of first line #m_1 = (3-2)/(7-3) = 1/4#

Since second line is parallel to the first line, their slopes are equal.

Therefore slope of second line #m_2 = m_1 = 1/4#

Equation of second line is given by point - slope formula

#y - y_1 = m (x - x_1)#

# y - 1 = (1/4) * (x - 1)

#4y -4 = x - 1#

#x - 4y = -3#

When #y = 2, x = 4*2 - 3 = 5#