Question

Write the equation of the line fully simplified slope-intercept form. 1 2 3 4 5 6 7 8 9 10 11 12 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 1 2 3 4 5 6 7 8 9 10 11 12 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12

Answer 1

Answer:

$y = -x$

Step-by-step explanation:

Given

$x: 1\ \ ||\ 2\ \ \ ||\ \ \ 3\ ||\ \ 4\ ||\ \ \ 5\ ||\ \ \ 6\ ||\ \ 7\ ||\ \ \ 8\ ||\ 9\ \ \ ||\ \ 10\ ||\ \ \ 11\ ||\ 12\\ y: -1 || -2|| -3 || -4 || -5 || -6|| -7 || -8 || -9 || -10 || -11 || -12$

Required

Write the equation of the  line;

Start by picking any two corresponding x and y values

$(x_1,y_1) = (1,-1)$

$(x_2,y_2) = (12,-12)$

Next, determine the slope (m)

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

$m = \frac{-12 - (-1)}{12 - 1}$

$m = \frac{-12 +1}{11}$

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

$m = -1$

The equation is then calculated using:

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

$y - (-1) = -1(x - 1)$

$y + 1 = -x +1$

$y = -x$

Hence, the line equation is:

$y = -x$