Answers

1. The linear equation that is parallel to 8x – 10y = -2 and contains (1, -2) is:

   4x – 5y = 14

   So the last option is the correct one.

   Which of the following equations is parallel to 8x – 10y = -2?

   Remember that two linear equations are parallel only if both lines have the same slope (or coefficients if it is written in standard form) and different y-intercept.

   Here our line is:

   8x – 10y = -2

   If we divide all the equation by 2, we will get:

   (8x – 10y)/2 = -2/2

   4x – 5y = -1

   So any equation of the form:

   4x – 5y = c, where c ≠ -1

   Is parallel to 8x – 10y = -2

   Now we want our line to pass through (1, -2), replacing these values in our line we get:

   4x – 5y = c

   4*1 –  5*-2 = c

   4 + 10 = c

   14 = c

   Then the linear equation is:

   4x – 5y = 14

   So the correct option is the last one.

   Learn more about linear equations:

   https://brainly.com/question/1884491

   #SPJ1

   Reply