Question

Select ALL the pairs of points so that the line between these points has a slope of 2/3?(0,0) and (3, 2)(1,5) and (4,7)(-2,-2) and (4,2)0 (0,0) and (2,3)(20, 30) and (-20, -30)

Answer 1

Answer:

• (0,0) and (3, 2)

,

• (1,5) and (4,7)

,

• (-2,-2) and (4,2)

Explanation:

Points (0,0) and (3, 2)

$m=\frac{2-0}{3-0}=\frac{2}{3}$

Points (1,5) and (4,7)

$m=\frac{7-5}{4-1}=\frac{2}{3}$

Points (-2,-2) and (4,2)

$m=\frac{2-(-2)}{4-(-2)}=\frac{2+2}{4+2}=\frac{4}{6}=\frac{2}{3}$

Points (0,0) and (2,3)

$m=\frac{3-0}{2-0}=\frac{3}{2}$

Points (20, 30) and (-20, -30)

$m=\frac{30-(-30)}{20-(-20)}=\frac{60}{40}=\frac{3}{2}$

The first three options are correct.