Question

Complete the point-slope equation of the line through (2,3) and (7,4) . y−4=?

Answer 1

the slope is (4-3)/(7-2)=1/5
using the point (7,4), the point-slope form is y-4=(1/5)(x-7)

Answer 2

`(x)/(5) -(7)/(5)`

Explanation:

Hello

to find the point - slope equation of the line you are going to need a point and the slope, Now, if you know two points of the line you can find the slope using:

`m=(y_(2)-y_(1))/(x_(2)-x_(1))\\ \\where\\\\P1(x_(1),y_(1))\ and\ P2(x_(2),y_(2))`

Step 1

find the slope

Let

P1(2,3)

P2(7,4)

replacing

`m=(y_(2)-y_(1))/(x_(2)-x_(1))\\m=(4-3)/(7-2)\\m=(1)/(5)`

Step 2

using slope=(1/5) and P(7,4)

find y-4=?

`y-y_(1)=m(x-x_(1))\\y-4=(1)/(5)(x-7)\\ y-4=(x)/(5) -(7)/(5)`

Have a good day.