Question

If you wanted to make the graph of y = 3x + 1 steeper, which equation could you use?

Answer 1

y = 3x + 1 

y = mx + b 

Where,
m = Rise/Run (Slope)
b = y-intercept

Changing the y intercept wouldn't change the steepness, but instead it would change where the graph would cross the y-axis (vertical axis). 

The slope is the rise over run. So for the current graph you would go up 3 and then over 1. If you increased the number by any amount you would be going higher while going the same distance to the right. As a result the line would be getting steeper and steeper. 

In other words the answer will be the one with a higher slope. If the slope is a fraction take our original slope and find a common denominator. Then compare. 

I hope that this helps!

Answer 2

The  graph of y = 3x + 1 steeper if we increase the coefficient of x .

What is steeper in slope?

Steeper means bigger so the slope of that line is bigger than the slope of the second skater's line.

The greater the slope, the steeper the line.  

According to the question

The graph of y = 3x + 1  

Now ,

To make it steeper we will increase its slope  

y = 3x + 1  -------------- (1)

The general slope of a line formula is given as,

y = mx + b -------------- (2)

where,

m = slope of line = $\frac{ net change in y-axis}{net change in x-axis}$  

Now , Comparing the equation (1) and (2)

m = 3  

so, to make slope steeper we will increase m

Hence, The  graph of y = 3x + 1 steeper if we increase the coefficient of x which is m .

To know more about steeper in slope here:

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