Question
The slope of the line ax + by = c is
Hint:
A line is a one-dimensional figure, which is consists of a set of points and it has no end points. Line is also known as the shortest distance between two points. Line can be expressed in form of an equation whose standard form is y=mx+c, where m is the slope of the line and c is the intercept of the line. Here, we have to write the sum of slopes of the lines which can be done by using the equations given in the question.
The correct answer is:
In the question the given equation of line is ax+by=c.
We have to find the slope of the given equation of line.
Step 1: Write the equation in y=mx+c form.
ax+by=c
by=-ax+c
Step 2: Compare eq. 1 with y=mx+c.
On comparing eq 1 with y=mx+c we get, m= and c= .
So, the slope of the given line is .
Therefore the correct option is c, i.e.,
Slope of a line shows the inclination of a line, which we can find on comparing the standard equation y=mx+c with the given equation.
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