Question

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

Answer 1

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

Step-by-step 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=(y_2-y_1)/(x_2-x_1) \\ m=(2-7)/(-4-6) \\ m=(-5)/(-10)=(1)/(2) \end{gathered}`

Therefore the equation is

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