Question

What is the equation of this line in standard form?

6x−11y=−13
6x−11y=13
6x−7y=17
11x−6y=13

Number graph that ranges from negative five to five on the x and y axes. A line passes through the labeled points begin ordered pair negative four comma negative one end ordered pair and begin ordered pair one and begin fraction one-half end fraction comma, two end ordered pair

Answer 1

Conisdering that the points labeld are (-4,-1) and (1.5, 2) this is how you find the equation of the line:

slope, m = (- 1 - 2) / ( - 4 - 1.5) = - 3 / - 5.5 = 6/11

Equation: [ y - (- 1) ] = (6/11) [ x - (-4)]

=> 11(y + 1) = 6(x + 4)

=> 11y + 11 = 6x + 24

=> 6x - 11 y + 13 = 0

=> 6x - 11y = - 13 <----- answer