Write the equation of each line described below:

1. A line that goes through the points $(–7, 10)$ and $(1, 4)$.

   Hint (a):

   Review the Math Notes box in Lesson 2.3.2.

   More Help:

   Step (1):

   Step (2):

   Substitute the slope in for $m$ and one set of coordinates, say $(1, 4)$, in for $x$ and $y$. Then solve for the $y$-intercept $(b)$.

   Answer (a):

   $\text{ Recall that slope = }\frac{\text{rise}}{\text{run}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

   $\text{Slope = }\frac{10-4}{-7 -1}=\frac{6}{-8}=-\frac{3}{4}$

   $y=mx+b$

   $4=-\frac{3}{4}\cdot 1+b$

   $4=-\frac{3}{4}+b$

   $y=-\frac{3}{4}x+4\frac{3}{4}$

2. A line with a slope of $-\frac{3}{4}$ that passes through the point $(–14, 4)$.

   Hint (b):

   See part (a).

3. A line with a slope of $0$ that passes through the point $(6, –11)$.

   Hint (c):

   See part (a).