Question

*Please Help* (There are more than 2 answers!)

Answer 1

Answer with explanation:

It is given that all lines in the graph given , passes through Origin.

Equation of line passing through origin

  y = m x

⇒m = Tan A, where ,A is angle made by line with positive direction of X axis.

If line is Parallel to X axis, it means , Slope = 0,because , Tan 0°=0

As, distance from positive side of X axis increases, the value of Tan A , increases so , if distance of line from positive direction of X axis increases, value of slope increases.

tan 45°=1

So, line which will make angle greater than 45°,with positive direction of X axis and less than 64°,will have slope between 1 and 2.Because,tan 45°=1,and Tan 64°=2.0403

Slope of line passing through two points, (a,b) and (p,q), is given by

 $m=\frac{q-b}{p-a}\\\\ \text Line 1=\frac{6-0}{2-0}\\\\=3\\\\ \text Line 2=\frac{6-0}{3-0}\\\\=2\\\\ \text Line 3=\frac{6-0}{4-0}\\\\=1.5\\\\ \text Line 4=\frac{6-0}{5-0}\\\\=1.2\\\\ \text Line5=\frac{6-0}{6-0}\\\\=1$

Line 3 and 4 has slope between 1 and 2.

   Option C and D:  Line 3 and Line 4

Answer 2

It is lines 3 and 4. Line 1 has a slope of 3, line 2 has a slope of 2, and line 5 has a slope of three. So the only lines with a slope between 1 and 2 are lines 3 and 4.