Answer: A) y equals three sevenths times x minus 3
Explanation:
We know that our graph is a line that goes through the points (0, - 3) and (7 , 0)
A line equation has the form:
y = a*x + b
where a is the slope and b is the y-intercept.
to find the slope, we can use the next equation.
For a line that goes trough the points (x1, y1) and (x2, y2), the slope is:
a = (y2 - y1)/(x2 - x1)
Then, in this case the slope is
a = (0 - (-3))/(7 - 0) = 3/7
Then our equation is:
y = (3/7)*x + b
to find the value of b, we can took any of the points we have and replace the values, lets use (7,0) this means that x = 7 and y = 0
0 = (3/7)*7 + b = 3 + b
b = -3
our equation is:
y = (3/7)*x - 3
The correct option is A.