Respuesta :
The equation represents the line that passes through (–6, 7) and (–3, 6) [tex]\rm y=\dfrac{-1}{3}x+5[/tex].
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;
[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m =\dfrac{7-6}{-6-(-3)}\\\\m = \dfrac{1}{-3}[/tex]
The equation represents the line that passes through (–6, 7) and (–3, 6) is;
[tex]\rm y=\dfrac{-1}{3}x+b\\\\6=\dfrac{-1}{3}(-3)+b\\\\6=1+b\\\\b = 6-1\\\\b=5[/tex]
The required line of the equation is;
[tex]\rm y =mx+c\\\\y=\dfrac{-1}{3}x+5[/tex]
Hence, the equation represents the line that passes through (–6, 7) and (–3, 6) [tex]\rm y=\dfrac{-1}{3}x+5[/tex].
To know more about the equation of line click the link given below.
https://brainly.com/question/8955867
Answer:
I'm pretty sure the answer is B sorry if I'm wrong
Step-by-step explanation:
