## Calculus (3rd Edition)

$y = x+5$
The line passes through the points (-1,4) and (2,7). We will use the formula: $\frac{Y_2 - Y_1}{X_2-X_1} = m$ Let's replace the values with point coordinates: $\frac{7 - 4}{2-(-1)} = m$ We now have the slope: $m = \frac{3}{3} = 1$ Now with a point and the slope we can use the formula: $y - Y_1 = m(x - X_1)$ Let's replace the values with the point and the slope: $y - 4 = 1 (x - (-1))$ $y = x + 1 + 4$ $y = x + 5$