Question
The sum of slopes of the line equations y = 7x + 5 & y = 2x is
- 5
- 7
- 9
- 14
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: 9
In the question the given equations are
y= 7x+5 ............(1)
y= 2x ..............(2)
We have to find the sum of the slopes of the given equations.
Step 1: Compare the given equations with y= mx+c.
On comparing eq 1 with y=mx+c we get, m= 7 and c= 5.
Similarly, on comparing eq 2 with y=mx+c we get, m= 2 and c= 0.
Step 2: Find the sum of the slopes.
Add the slope of eq 1 and 2,
7+2=9
So, the sum of the slopes of the given equations are 9.
Therefore the correct option is c, i.e., 9.
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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