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Complete the point-slope equation of the line through (-8,-1)(−8,−1)left parenthesis, minus, 8, comma, minus, 1, right parenthesis and (-6,5)(−6,5)left parenthesis, minus, 6, comma, 5, right parenthesis.
Use exact numbers.
y-5=y−5=y, minus, 5, equals

Respuesta :

Answer:

- y=(−112)x−52. Explanation: (−10,3) and (−8,−8) The slope of the line between A(x1,y1) and B(x2,y2) is: m=y2−y1x2−x1.

Step-by-step explanation:

akposevictor

The equation of line that passes through (-8, -1) and (-6, 5), in point-slope form is: [tex]\mathbf{y - 5 = 3(x + 6)}[/tex]

Recall:

  • Point-slope equation is given as: [tex]y - b = m(x - a)[/tex], where, slope = m
  • Slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Given that a line passes through, (-8, -1) and (-6, 5),

First, find the slope(m) using (-8, -1) and (-6, 5):

  • Plug in the values into the slope formula

[tex]m = \frac{5 -(-1)}{-6 - (-8)} = \frac{6}{2} \\\\\mathbf{m = 3}[/tex]

To write the equation in point-slope form, substitute m = 3, and (a, b) = (-6, 5) into [tex]y - b = m(x - a)[/tex].

  • Thus:

[tex]y - 5 = 3(x - (-6))\\\\\mathbf{y - 5 = 3(x + 6)}[/tex]

Therefore, the equation of line that passes through (-8, -1) and (-6, 5), in point-slope form is: [tex]\mathbf{y - 5 = 3(x + 6)}[/tex]

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