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

Answer:

$\frac{x}{5} -\frac{7}{5}$

Step-by-step 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:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\ \\where\\\\P1(x_{1},y_{1})\ and\ P2(x_{2},y_{2})$

Step 1

find the slope

Let

P1(2,3)

P2(7,4)

replacing

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\m=\frac{4-3}{7-2}\\m=\frac{1}{5}$

Step 2

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

find y-4=?

$y-y_{1}=m(x-x_{1})\\y-4=\frac{1}{5}(x-7)\\ y-4=\frac{x}{5} -\frac{7}{5}$

Have a good day.