Question

Which equation represents the line that passes through (–6, 7) and (–3, 6)? y = –y equals negative startfraction one-third endfraction x plus 5.x 9 y = –y equals negative startfraction one-third endfraction x plus 5.x 5 y = –3x – 11y y = –3x 25

Answer 1

The equation represents the line that passes through (–6, 7) and (–3, 6) $\rm y=\dfrac{-1}{3}x+5$.

What is the slope of the equation?

For all lines in slope y-intercept form, it would be very simple to just find the answer by finding yourself the slope and y-intercept of the line in question.

The slope of the line is;

$\rm m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m =\dfrac{7-6}{-6-(-3)}\\\\m = \dfrac{1}{-3}$

The equation represents the line that passes through (–6, 7) and (–3, 6) is;

$\rm y=\dfrac{-1}{3}x+b\\\\6=\dfrac{-1}{3}(-3)+b\\\\6=1+b\\\\b = 6-1\\\\b=5$

The required line of the equation is;

$\rm y =mx+c\\\\y=\dfrac{-1}{3}x+5$

Hence, the equation represents the line that passes through (–6, 7) and (–3, 6) $\rm y=\dfrac{-1}{3}x+5$.

To know more about the equation of line click the link given below.

brainly.com/question/8955867