Respuesta :
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)
using the point (7,4), the point-slope form is y-4=(1/5)(x-7)
Answer:
[tex]\frac{x}{5} -\frac{7}{5}[/tex]
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:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\ \\where\\\\P1(x_{1},y_{1})\ and\ P2(x_{2},y_{2})[/tex]
Step 1
find the slope
Let
P1(2,3)
P2(7,4)
replacing
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\m=\frac{4-3}{7-2}\\m=\frac{1}{5}[/tex]
Step 2
using slope=(1/5) and P(7,4)
find y-4=?
[tex]y-y_{1}=m(x-x_{1})\\y-4=\frac{1}{5}(x-7)\\ y-4=\frac{x}{5} -\frac{7}{5}[/tex]
Have a good day.
