which equation represents the line that passes through the points (3,7) and (-1,-1)

Question

Im learning linear equations in two variables and i need help figuring out how to solve this

Answer 1

Slope of a line passes thru (x₁ ,y₁) & (x₂ ,y₂),

m= y₂-y_1 ⁄ x₂ -x₁

 

slope of a line passes thru (3,7) & (-1,-1) = -1-7/ -1-3

                                                             =-8/-4

                                                             =2

Equation of a line passes thru (x₁,y₁) & slope m =

y-y₁=m(x-x₁)

y-7 =2(x-3)

y-2= 2x-6

y=2x-4

 

Answer 2

First, find the slope.

 

(7 - (-1))/(3 - (-1) or (-1 - 7)/(-1 - 3) = 2

 

Pick either point to use.

 

y - 7 = 2(x - 3)

y - 7 = 2x - 6

y = 2x + 1

 

Let's check.

 

7 = 2(3) + 1

7 = 7

 

-1 = 2(-1) + 1

-1 = -1

 

Check!