Question

Suppose you graph y=5x and y=x+500 on the same coordinate plane.Which line would be steeper?Why?

Answer 1

slope tells the steepness of the graph
y=mx+b
m=slope
so if m is bigger,t hen sloe is bigger
y=5x+0
slope is 5
y=1x+500
slope is 1

y=5x is steeper

Answer 2

Answer:

y = 5x is steeper,

Because, the absolute value of its slope is greater.

Step-by-step explanation:

A line y = mx + c is called steepest( closest to y-axis )

When, absolute value of |m| is greatest.

Here, the given equations of lines are,

y = 5x and y = x + 500,

The value of m for the line y = 5x is 5

While, the value of m for the line y = x+500 is 1

Since |5| > |1|

Thus, we can say,

Line y = 5x is steeper than y = x+500.