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blsea [12.9K]
3 years ago
13

Write the equation of the line in slope- intercept and point-slope form.​

Mathematics
1 answer:
AnnZ [28]3 years ago
3 0

Answer:

Step-by-step explanation:

As we move from the x-intercept (-2, 0) to the y-intercept (0, 4), x increases by 2 (this is the run) and y by 4 (this is the rise).  Thus, the slope of this line is

m = rise/run = 4/2 = 2.

Given the y-intercept (0, 4) and the slope (2), the slope-intercept form of the equation of this line is y = 2x + 4.

From this we get the point-slope form:

y = 2x + 4 becomes y - 4 = 2(x - 0), or just y - 4 = 2x.

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The absolute value |x| returns the "positive version" of a number.

In other words, if the number is positive, it remains positive; if the number is negative, it changes sign.

So, if we want |x|=9, we want the "positive version" of x to be 9.

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