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zaharov [31]
3 years ago
7

Write the point-slope form of the line that passes through (6, 1) and is parallel to a line with a slope of -3. Include all of y

our work in your final answer. Type your answer in the box provided to submit your solution.
Please explain how to do this :)
Mathematics
1 answer:
denpristay [2]3 years ago
3 0

Answer:

(y - 1) = -3(x - 6)

Step-by-step explanation:

The equation of a line in point-slope form is

(y-y_{1}) = m (x-x_{1})

where y1 and x1 are 2 known points, and m is the slope of the line. So simply just fill in the blanks.

y is a variable so it is left alone (since there is no subscript).

y1 we are told is 1.

m we are told is -3 (the slope)

x is a variable so it is left alone (since there is no subscript).

x1 we are told is 6.

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<h3>f(x) = -3·2^(x-1) -1</h3>
  • reflection across the x-axis (multiplication by -1)
  • vertical expansion by a factor of 3 (multiplication by 3)
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  • shift down 1 unit (add -1 to the function value)

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<h3>f(x) = -1/4·2^(x+1) -1</h3>

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