Question

Write the equation in slope intercept form. what are the slope and y intercept?

Answer 1

Option C  

Answer:

The equation in slope intercept form is $-\frac{5}{12} x-\frac{11}{12}$

The slope is $-\frac{5}{12}$ and y-intercept is $-\frac{11}{12}$

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,

$y=-\frac{5}{12} x-\frac{11}{12}$     ---- eqn (3)

Comparing the given equation (3) with equation (1), we get  

$m = -\frac{5}{12}$ and $c = -\frac{11}{12}$

Hence Option C is correct.