$\text{The slope of the line joining the points } (x_1,y_1) \text{ and } (x_2,y_2) \text{ is given by } m=\dfrac{y_2-y_1}{x_2-x_1}$.So, the slope of the line joining the points \(\left(-2,-7\right)\) and \(\left(3,10\right)\) is \(\dfrac{\left(10\right)-\left(-7\right)}{\left(3\right)-\left(-2\right)}\) = \(\dfrac{10+7}{3+2}\) = \(\dfrac{17}{5}\)The slope is positive, so the line is rising from left to right.