Question

Which equation is a point-slope form of the equation of this line?

Answer 1

slope = (7 -1)/(1+2) = 6/3 = 2

equation of point-slope form

y - 1 = 2(x + 2)

hope it helps

Answer 2

`y-7=2(x-1)`

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
`\left ( x_1,y_ 1\right )\,,\,\left ( x_2,y_2 \right )`, slope is given by
`m=(y_2-y_1)/(x_2-x_1)`.

Point slope form is
`y-y_1=m(x-x_1)`

Here, m is the slope of line .

`\left ( x_1,y_1 \right )=\left ( 1,7 \right )\\\left ( x_2,y_2 \right )=\left ( -2,1 \right )`

Slope:

`m=(1-7)/(-2-1)=(-6)/(-3)=2`

So, equation is
`y-7=2(x-1)` .