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

1 Answer
May 19, 2018

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

Explanation:

Slope of a line m = (y_2-y_1)/ (x_2-x_1)m=y2y1x2x1

Slope of first line m_1 = (3-2)/(7-3) = 1/4m1=3273=14

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

Therefore slope of second line m_2 = m_1 = 1/4m2=m1=14

Equation of second line is given by point - slope formula

y - y_1 = m (x - x_1)yy1=m(xx1)

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

4y -4 = x - 14y4=x1

x - 4y = -3x4y=3

When y = 2, x = 4*2 - 3 = 5y=2,x=423=5