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

Answer:

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

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 $\left ( x_1,y_ 1\right )\,,\,\left ( x_2,y_2 \right )$, slope is given by $m=\frac{y_2-y_1}{x_2-x_1}$.

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:

$m=\frac{1-7}{-2-1}=\frac{-6}{-3}=2$

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