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zavuch27 [327]
3 years ago
15

what is the equation of a line in slope-intercept form for a line with slope = 1/4 and y-intercept at (0,-1)

Mathematics
1 answer:
Nadya [2.5K]3 years ago
3 0

Answer:

y = (1/4)x - 1

Step-by-step explanation:

Start with the general slope-intercept form:  y = mx + b.  Subst. -1 for b and (1/4) for m.  Then,

y = (1/4)x - 1

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Factor Completely.<br> 12k^2-16k-60
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Answer:

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Step-by-step explanation:

Given

12k² - 16k - 60 ← factor out 4 from each term

= 4(3k² - 4k - 15) ← factor the quadratic

Consider the factors of the product of the coefficient of the k² term and the constant term which sum to give the coefficient of the k term

product = 3 × - 15 = - 45 , sum = - 4

Factors are - 9 and + 5

Use these factors to split the middle term

3k² - 9k + 5k - 15 → ( factor the first/second and third/fourth terms

= 3k(k - 3) + 5(k - 3) ← factor out (k - 3)

= (k - 3)(3k + 5)

Hence

12k² - 16k - 60 = 4(k - 3)(3k + 5) ← in factored form

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