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Paladinen [302]
3 years ago
9

How does changing the value of m affect the graph of an equation in the form y=mx b?

Mathematics
2 answers:
polet [3.4K]3 years ago
8 0
M represents the slope of a line, changing the slope to positive will make it an incline and changing it to negative will make it a decline. If the slope is a fraction, the smaller the numerator, the steeper the line, the larger the numerator, the less steep the line is.
ira [324]3 years ago
3 0
"M" is the slope of the equation.
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Step-by-step explanation:

To find an equation of a line that passes through two points, we have to first find the slope between the two equation. We can do this by using the slope formula:

where (x₁, y₁) and (x₂, y₂) are the two points that we are finding the slope between.

Lets make (x₁, y₁) equal to (0, 10) and (x₂, y₂) equal to (3, 1). Now we plug them into the slope formula:

So the slope between the two points is -3.

From here, I would normally take one of the points given to us and plug in the point and slope into the point-slope form of a line and then simplify until we get it in slope-intercept form. But if you look carefully, the y-intercept is given to us as the point (0, 10). So we now know that the y-intercept of the line is 10. We can now take the y-intercept and the slope and plug it into the slope-intercept form of a line to get out equation:

y = mx + b

plug in -3 for m (the slope) and 10 for b (the y-intercept)

y = -3x + 10

So now we have our equation.

I hope you find my answer and explanation helpful. Happy studying. :)

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