3.0k views
4 votes
-4

-2
2
4
-4
-2
2
4
y=mx+b
m = 1
b = -1
Increasing the value of m increases the line’s

intersection with the y-axis.

intersection with the x-axis.

steepness.

1 Answer

6 votes

Answer:

Explanation:

I don't understand:

-4

-2

2

4

-4

-2

2

4

so I'll ignore it.

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If I understand the next section correctly:

y=mx+b

m = 1

b = -1

Therefore y = 1x -1

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Increasing the value of m increases the line’s

intersection with the y-axis. NO, it stays the same

intersection with the x-axis. NO, it decreases it

steepness. YES

y= 1x - 1 is a rather lame line, from a mathematical perspective. The valu of y is always equal to the value of x minus 1: (0,-1), (5,4), (-5,-6), (100,99), etc.

But when m is increased, the value of y suddenly takes on somelife. An m of 2, for example: (-10, -21), (1,1), (2,3), (4,7), (10, 19), (100, 199). The line is steeper (see attached graph). Since the -1 does not change, it intercepts the y axis at the same point (-1). It decreases the x-intercept, as shown in the graph.

-4 -2 2 4 -4 -2 2 4 y=mx+b m = 1 b = -1 Increasing the value of m increases the line-example-1
User Amit Dube
by
4.6k points