Respuesta :
Option C
Answer:
The equation in slope intercept form is [tex]-\frac{5}{12} x-\frac{11}{12}[/tex]
The slope is [tex]-\frac{5}{12}[/tex] and y-intercept is [tex]-\frac{11}{12}[/tex]
Solution:
The slope - intercept form equation of line is given as
y = mx + c ---- eqn(1)
Where m is the slope of the line. The coefficient of “x” is the value of slope of the line.
c is the y – intercept which is the value of y at the point where the line crosses the y-axis
From question, given that -5x - 12y = 11 --- eqn (2)
On converting equation (2) in slope – intercept form, that is adding 5x on both sides,
-5x - 12y + 5x = 5x + 11
-12y = 5x + 11
Now on dividing -12 on both sides,
[tex]y=-\frac{5}{12} x-\frac{11}{12}[/tex] ---- eqn (3)
Comparing the given equation (3) with equation (1), we get
[tex]m = -\frac{5}{12}[/tex] and [tex]c = -\frac{11}{12}[/tex]
Hence Option C is correct.
