Q line passes through points with coordinate(3,7)and (-2,-3). What is the equation of the line?

Given are two points P1(x1, y1), P2(x2, y2) with P1(3, 7), P2(-2, -3)

You want a linear equation in the slope intercept form: y = mx + b

The slope m is defined as: m = (y2 - y1) / (x2 - x1).

Plug your values into the point slope form (y - y1) = m (x - x1) :

y - 7 = ((-3 -7) / (-2 -3)) * (x - 3)
y - 7 = (-10 / -5) (x - 3)
y - 7 = 2 (x - 3) ;; (point slope in presentable form)
y = 2x + 1 ;; your answer.

Btw, either there's a typo in your choices' list, or the test is benevolent by design, increasing your probability of picking the correct answer at random by 25% to a staggering 50% ;)