Question

Write a equation of the lines passes through the given points (-2,7) (1,1) the equation is?

Answer 1

The point-slope form:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-2, 7) and (1, 1). Substitute:

$m=\dfrac{1-7}{1-(-2)}=\dfrac{-6}{3}=-2$

$y-7=-2(x-(-2))\\\\\boxed{y-7=-2(x+2)}$   point-slope form

$\boxed{y=-2x+3}$     slope-intercept form

$\boxed{2x+y=3}$       standard form