Answer:
Equation of line passing through origin and (7,2) is: [tex]y = \frac{7}{2}x[/tex]
Step-by-step explanation:
The general form of equation of line is given by:
[tex]y = mx+b[/tex]
When a line passes through origin it has no y-intercept so the equation will become
[tex]y = mx[/tex]
Slope is given by the formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Here,
(x1,y1) = (0,0)
(x2,y2) = (7,2)
Putting the values in the formula
[tex]m = \frac{7-0}{2-0} = \frac{7}{2}[/tex]
Putting the value of slope in equation of line
[tex]y = \frac{7}{2}x[/tex]
Hence,
Equation of line passing through origin and (7,2) is: [tex]y = \frac{7}{2}x[/tex]
