Step-by-step explanation:
Let's find the slope by using this formula:
[tex]\frac{y2}{x2} -\frac{y1}{x1} =m[/tex]
We'll use these 2 points:
(4, 6)
(8, 12)
Substitute the points into the formula's format:
[tex]\frac{12}{8} -\frac{6}{4} =m[/tex]
Subtract:
[tex]\frac{6}{4} =\frac{3}{2} =m[/tex]
The slope means that;
For every 2 (x), y increases by 3.
Other points that can lie on the given line:
[tex]\frac{4+2}{6+3} =\frac{6}{9} \: (6,9)[/tex]
[tex]\frac{8+2}{12+3} =\frac{10}{15} \: (10,15)[/tex]
[tex]\frac{10+2}{15+3} =\frac{12}{18} \: (12,18)[/tex]
[tex]\frac{12+2}{18+3} =\frac{14}{21} \: (14,21)[/tex]
[tex]\frac{16+2}{24+3} =\frac{18}{27} \: (18,27)[/tex]
[tex]\frac{18+2}{27+3} =\frac{20}{30} \: (20,30)[/tex]
