Question
The largest slope among the following equations is
- 2x +7 = 3y
- y = - 25x + 4
- – 2y = - 25x + 49
- 4x + 1 =
y
y
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 find the largest slope.
The correct answer is: 4x + 1 = y
In the question we have to find the largest slope from the given options.
In option a the equation is 2x+7=3y.
Convert the equation in y=mx+c form.
Divide both the sides by 3.
On comparing equation 1 with y=mx+c we get, m= 
and c= 
.
Here, slope is .
In option b the equation of line is y= -25x+4.
On comparing the equation with y=mx+c we get, m= -25 and c= 4.
Here, slope is -25.
In option c the equation is -2y= -25x+49.
Convert the equation into the form y=mx+c.
Divide both sides by -2.
On comparing equation 2 with y= mx+c we get, m= 
and c= 
.
Here, the slope is 
In option d the equation is 4x+1= 
.
Convert the equation into y=mx+c form.
Multiply both sides by 4.
On comparing equation 3 with y=mx+c we get, m= 16 and c= 4.
Here, the slope is 16.
So, the largest slope among all is 16.
Therefore the correct option is d, i.e., 4x+1= 
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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