point-slope form of an equation of the line through the points (-1, 4) and (-2, 2).
Accepted Solution
A:
Answer:y - 4 = 2(x + 1)ory - 2 = 2(x + 2)Step-by-step explanation:The point-slope of an equation of a line:[tex]y-y_1=m(x-x_1)[/tex]m - slopeThe formula of a slope:[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]We have the points (-1, 4) and (-2, 2).Substitute:[tex]m=\dfrac{2-4}{-2-(-1)}=\dfrac{-2}{-1}=2[/tex]for the point (-1, 4):[tex]y-4=2(x-(-1))\\\\y-4=2(x+1)[/tex]for the point (-2, 2):[tex]y-2=2(x-(-2))\\\\y-2=2(x+2)[/tex]