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

-5x -12y=11

a: y= -5/12 x + 11/12; slope: -5/12; y-intercept: 11/12

b: y= 5/12 x -11/12; slope: 5/12; y-intercept: -11/12

c: y= -5/12 x - 11/12; slope: -5/12; y-intercept: -11/12

d: y= 5/12 x + 11/12; slope: 5/12; y-intercept: 11/12

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Option C  

The equation in slope intercept form is

The slope is and y-intercept is

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,

    ---- eqn (3)

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

and

Hence Option C is correct.