Answer:
The equation of a line is y = 7x .
Option (A) is correct .
Step-by-step explanation:
As the equation of the line in the form
y = mx + c
Where m is the slope and c is the y - intercept.
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
Thus
As shown in the figure the line pass through the point (0,0) and (1,7) .
Thus
[tex]m = \frac{7 - 0}{1 - 0}[/tex]
m = 7
As the line passes through the origin, the y intercept is already determined (it is 0 since the line will pass through the y axis at 0).
Thus
c = 0
Put the value of m and c in the equation
y = 7x + 0
y = 7x
Therefore the equation of a line is y = 7x .
Option (A) is correct .
