Find the slope of the line that goes through the given points. \( (1,-1) \) and \( (-8,-1) \)

Find the function rule for \( g(x) \). The function \( f(x)=2 x \). The graph of \( g(x) \) is \( f(x) \) vertically stretched by a factor of 4 and reflected in the \( x \)-axis. What is the function rule for \( g(x) \) ? \[ \begin{array}{l}g(x)=-\frac{1}{2} x \\ O_{\text {d }} \\ g(x)=\frac{1}{2} x \\ g(x)=8 x\end{array} \]

Empleando el método de los rectángulos inscritos, determina la aproximación del área bajo la curva de la función que se muestra en la imagen, para el intervalo \( [-0.5,2] \) y \( n=5 \).

Convert the quadratic function \(y = x^2 - 4x - 5\) into standard form.

\( \Delta K = \frac { 1 } { 2 } m v _ { 2 } ^ { 2 } - \frac { 1 } { 2 } m v _ { 1 } ^ { 2 } \)

A ball of mass 0.8 kg flies through the air at low speed, so that air resistance is negligible. What is the net force acting on the ball while it is in motion?