Question

A choice got cut off and it’s “-11x+6y=13”. Thank you! And this is a quiz and I have other questions on my account! I need fast answers please

Answer 1

–11x + 6y = –13

Solution:

The points on the line are (5, 7) and (–1, –4).

Here, $x_1=5, y_1=7, x_2=-1, y_2=-4$\

Slope of the line:

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

$m=\frac{-4-7}{-1-5}$

$m=\frac{-11}{-6}$

$m=\frac{11}{6}$

Using point-slope formula,

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

$y-(-4)=\frac{11}{6} (x-(-1))$

$y+4=\frac{11}{6} x+\frac{11}{6}$

Subtract 4 on both sides of the equation.

$y=\frac{11}{6} x+\frac{11}{6}-4$

$y=\frac{11}{6} x+\frac{11}{6}-\frac{24}{6}$

$y=\frac{11}{6} x-\frac{13}{6}$

Multiply by 6 on both sides of the equation.

$6y=11x-13$

Subtract 11x from both sides of the equation.

–11x + 6y = –13

Hence option A is the correct answer.