Respuesta :
Answer:
[tex]m=-\frac{11}{12}[/tex]
Step by step explanation:
We are asked to find the slope of line that passes through (–12,15) and (0,4).
We will use slope formula to find the slope of our given line.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex], where,
[tex]y_2-y_1[/tex]= Change between two y coordinates.
[tex]x_2-x_1[/tex]= Change between corresponding x-coordinates of y-coordinates.
Upon substituting coordinates of our given points in slope formula we will get,
[tex]m=\frac{4-15}{0--12}[/tex]
[tex]m=\frac{-11}{0+12}[/tex]
[tex]m=\frac{-11}{12}[/tex]
[tex]m=-\frac{11}{12}[/tex]
Therefore, the slope of the line that passes through our given points will be [tex]-\frac{11}{12}[/tex].
