Question

If we changed the –0.14 to a 2 in the equation, what would happen to the graph?

Answer 1

If -0.14 is changed to 2, the graph would become a positive graph, or it would be steeper, because it has a positive slope

The equation of the graph is given as:

$y = -0.14x + 3$

The above equation is a linear equation, which is represented as:

$y =mx + c$

Where m represents the slope of the linear equation.

By comparison, we have:

$m = -0.14$

i.e. the slope of the equation $y = -0.14x + 3$ is -0.14

When -0.14 is replaced with 2, the equation becomes

$y = 2x + 3$

And the slope of the new equation $y = 2x + 3$ is

$m =2$

2 is greater than -0.14, and 2 is positive.

This means that the graph would become a positive graph, or it would be steeper, because it has a positive slope

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