Math Snap

STEP 1

Assumptions1. We have two points in the Cartesian coordinate system $(-1,)$ and $(4,5)$. The slope of a line passing through two points $(x1, y1)$ and $(x, y)$ can be calculated using the formula$$slope = \frac{y - y1}{x - x1}$$

STEP 2

Let's denote the given points as followsPoint1 $(-1,2)$, so $x1 = -1$ and $y1 =2$
Point2 $(4,5)$, so $x2 =4$ and $y2 =5$

STEP 3

Substitute the values of $x1$, $y1$, $x2$, and $y2$ into the slope formula.
$$slope = \frac{y2 - y1}{x2 - x1} = \frac{5 -2}{ - (-1)}$$

STEP 4

implify the expression in the numerator and the denominator.
$$slope = \frac{3}{}$$

The slope of the line passing through the points $(-1,2)$ and $(4,5)$ is $\frac{3}{5}$.
Since the slope is positive, the line rises from left to right.