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WITCHER [35]
2 years ago
8

What is the point-slope form of the line with slope 2/5 that passes through the point (-4, -7) ?

Mathematics
2 answers:
likoan [24]2 years ago
7 0

Answer:

• General equation of a line:

{ \tt{y = mx + b}} \\

  • m is the slope, m = 2/5
  • b is y-intercept

{ \tt{ - 7 = ( \frac{2}{5} \times  - 4) + b }} \\  \\ { \tt{ - 7 =  -  \frac{8}{5}  + b}} \\  \\ { \tt{b =  -  \frac{27}{5} }}

• Therefore, equation of line is:

{ \tt{y =  \frac{2}{5}x -  \frac{27}{5}  }} \\

Kruka [31]2 years ago
3 0

Answer:

<em>y + 7 = </em>\frac{2}{5}<em> ( x + 4 ) </em>

Step-by-step explanation:

( x_{1} , y_{1} )

y - y_{1} = \frac{2}{5} ( x - x_{1} )

~~~~~~~~~~~~~~

( - 4 , - 7 )

y - ( - 7 ) = \frac{2}{5} ( x - ( - 4 ))

<em>y + 7 = </em>\frac{2}{5}<em> ( x + 4 )</em>

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3 years ago
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2 years ago
What is the domain and range of the function y = 2x2 - 4x - 10?
11111nata11111 [884]

Answer:

Step-by-step explanation:

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The second rule is to take half the linear term, square it, and add it to both sides.  Our linear term is 2 (from the -2x).  Half of 2 is 1, and 1 squared is 1.  So we add 1 into the parenthesis on the left.  BUT we cannot ignore the 2 sitting out front of the parenthesis.  It is a multiplier.  That means that we didn't just add in a 1, we added in a 2 * 1 = 2.  So we add 2 to the right as well, giving us now:

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The reason we complete the square (other than as a means of factoring) is to get a quadratic into vertex form.  Completing the square gives us a perfect square binomial on the left.

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3 years ago
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