Question

For a line that goes through points (2,-2) and (1.-6), what is the equation

of the line in point-slope form?

Answer 1

y + 2 = 4(x - 2)

Explanation:

`\text{The point-slope form of an equation of a line:}\\\\y-y_1=m(x-x_1)\\\\m-slope\\(x_1,\ y_1)-point\ on\ a\ line\\\\\text{The formula of a slope:}\\\\m=(y_2-y_1)/(x_2-x_1)\\\\======================================`

`\text{We have the points:}\ (2,\ -2)\ \text{and}\ (1,\ -6).\\\\\text{Substitute:}\\\\m=(-6-(-2))/(1-2)=(-4)/(-1)=4\\\\y-(-2)=4(x-2)\\\\y+2=4(x-2)`