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=(y_2-y_1)/(x_2-x_1)`

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

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