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Juliette [100K]
3 years ago
14

Which equation represents a line that passes through (–9, –3) and has a slope of –6?

Mathematics
2 answers:
Helen [10]3 years ago
3 0

Answer:

y+3= -6(x+9) is the answer

Step-by-step explanation:

dem82 [27]3 years ago
3 0

Answer:

y+3=-6(x+9)

Step-by-step explanation:

We are given that

Slope of a line=-6

Given point =(-9,-3)

We have to find the equation which represents the line.

The equation of line passing through the given point (x_1,y_1) with slope m is given by

y-y_1=m(x-x_1)

Substitute the values then we get

The equation of line passing through the point (-9,-3) with slope -6 is given by

y-(-3)=-6(x-(-9))

y+3=-6(x+9)

Hence, the equation of line that passes through (-9,-3) and has  a slope -6 is given by

y+3=-6(x+9)

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Use the table to identify values of p and g that can be used to factor X2 - x - 12
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Answer:

D. 3 and -4

Step-by-step explanation:

Given the expression, x² - x - 12, let's factorise to find the value of p and q using the table, for which we would have the expression simplified as (x + p)(x + q)

From the table, let's find the values of p and q that would give us -12 when multiplied together, and would also give us -1 when summed together.

Thus, from the table given, the row containing the values of p(3) and q(-4) gives us = -1 (p+q) . p = 3, q = -4 would be our values to use to factor x² - x - 12, as multiplying both will also give us "-12".

Thus, x² - x - 12 would be factorised or simplified as (x + 3)(x - 4)

Therefore, the answer is: D. 3 and -4

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