ample 4: Find the slope and y-intercept of the line that passes through points C(-3,7) and D(2,0) tegy:

## Step 1: Calculate the slope<br />### The slope ($m$) of a line passing through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$. Plugging in the coordinates of C(-3, 7) and D(2, 0), we get $m = \frac{0 - 7}{2 - (-3)} = \frac{-7}{5}$.<br /><br />## Step 2: Find the y-intercept<br />### We can use the point-slope form of a linear equation, $y - y_1 = m(x - x_1)$, with the slope we calculated and one of the given points (let's use D(2, 0)). Substituting the values, we get $y - 0 = -\frac{7}{5}(x - 2)$, which simplifies to $y = -\frac{7}{5}x + \frac{14}{5}$. The y-intercept is the value of $y$ when $x = 0$, which is $\frac{14}{5}$.