The equation which matches the graph is : y = 5x
We can obtain the slope-intercept equation of the graph in other to solve the problem given ;
y = bx + c ; c = intercept, b = slope
Using the pair of points : (7, 35); (1, 5)
Slope = Rise/ Run
Slope = (35 - 5) / (7 - 1)
Slope = 30 / 6 = 5
b = 5
Using the point (1, 5) to calculate the intercept;
5 = 5(1) + c
5 = 5 + c
c = 5 - 5
c = 0
The equation of the graph is : y = 5x