The linear equation is y = 2x + 3, the correct option is C.
Which is the equation of the line?
We want to find the line that passes through (7, 17) and (15, 33).
Remember that if a line passes through (x₁, y₁) and (x₂, y₂), then the slope of the line is:
a = (y₂ - y₁)/(x₂ - x₁)
Replacing the values of the points that we have:
a = (33 - 17)/(15 - 7)
a = 16/8 = 2
So the line is of the form:
y = 2x + b
Replacing the values of the first point (7, 17) we will get:
17 = 2*7 + b
17 = 14 + b
17 - 14 = b
3 = b
The line is:
y = 2x + 3