Question

Write in point-slope form an equation of the line through the pair of points (4,0) and (9,7). Type an equation of the line in point-slope form using one of the given points.

Answer 1

`y=(7)/(5)x-4`

Step-by-step explanation

Step 1

if you have two points P1 and P2 of a line, the slope is given by:

`\text{slope}=(y_2-y_1)/(x_2-x_1)`

where

`\begin{gathered} P1(x_1,y_1)_{}_{} \\ P2(x_2,y_2)_{} \end{gathered}`

a)Let

P1(4,0) P2(9,7)

b) replace

`\begin{gathered} \text{slope}=(y_2-y_1)/(x_2-x_1) \\ \text{slope}=(7-0)/(9-4) \\ \text{slope}=(7)/(5) \end{gathered}`

Step 2

usin P1 (4,0) and the slope find the point-slope form equaton

`\begin{gathered} y-y_1=m(x-x_1) \\ y-0=(7)/(5)(x-4) \\ y=(7)/(5)x-4 \end{gathered}`