Answer:
[tex]y-7=2(x-1)[/tex]
Step-by-step explanation:
Point slope form of an equation is basically based on slope of line and point that lie on a line.
Slope refers to steepness of line.
In order to find slope of a line, we divide the difference of y-coordinates of two points by the difference of x-coordiantes of two points.
For two points [tex]\left ( x_1,y_ 1\right )\,,\,\left ( x_2,y_2 \right )[/tex], slope is given by [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
Point slope form is [tex]y-y_1=m(x-x_1)[/tex]
Here, m is the slope of line .
[tex]\left ( x_1,y_1 \right )=\left ( 1,7 \right )\\\left ( x_2,y_2 \right )=\left ( -2,1 \right )[/tex]
Slope:
[tex]m=\frac{1-7}{-2-1}=\frac{-6}{-3}=2[/tex]
So, equation is [tex]y-7=2(x-1)[/tex] .
