Question

write the equation of a line that passes through the points (6,7) and (-4,2)

Answer 1

Solution

write the equation of a line that passes through the points (6,7) and (-4,2):

Explanation:

The equation of straight line passing through the given points

$\begin{gathered} (x_1,y_1)=(6,7) \\ (x_2,y_2)=(-4,2) \end{gathered}$

is given by following formula:

$y-y_1=m(x-x_1)$

slope = m

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{2-7}{-4-6} \\ m=\frac{-5}{-10}=\frac{1}{2} \end{gathered}$

Therefore the equation is

$\begin{gathered} y-y_1=m(x-x_1) \\ y-7=\frac{1}{2}(x-6) \\ y-7=\frac{1}{2}x-3 \\ y=\frac{1}{2}x-3+7 \\ y=\frac{1}{2}x+4 \end{gathered}$