What is the slope of a line passing through (-5,5) and (-4, 10)? -1 10 5 1/3

To find the slope of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$, we can use the formula:<br /><br />$$\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}$$<br /><br />Given the points $(-5,5)$ and $(-4,10)$, we can substitute these values into the formula:<br /><br />$$\text{slope} = \frac{10 - 5}{-4 - (-5)}$$<br /><br />Simplifying the expression, we have:<br /><br />$$\text{slope} = \frac{5}{1}$$<br /><br />Therefore, the slope of the line passing through $(-5,5)$ and $(-4,10)$ is 5.