Write the equation of the line that passes through the points (-6,-1) and (8,4). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line. Answer:

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Write the equation of the line that passes through the points  (-6,-1) and  (8,4). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line. Answer:

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Calculate slope: Calculate the slope (m) of the line using the formula m = (y2 - y1) / (x2 - x1) with the given points (-6,-1) and (8,4). m = (4 - (-1)) / (8 - (-6)) m = (4 + 1) / (8 + 6) m = 5 / 14Choose point: Choose one of the points to use in the point-slope form equation. We will use the point (-6,-1).Write point-slope equation: Write the equation of the line in point-slope form using the slope m = 5/14 and the point (-6,-1). The point-slope form is y - y1 = m(x - x1). y - (-1) = (5/14)(x - (-6)) y + 1 = (5/14)(x + 6)Simplify equation: Simplify the equation by distributing the slope on the right side. y + 1 = (5/14)x + (5/14)*6 y + 1 = (5/14)x + 30/14 y + 1 = (5/14)x + 15/7Subtract 1: Subtract 1 from both sides to get the final point-slope form of the equation. y = (5/14)x + 15/7 - 1 y = (5/14)x + 15/7 - 7/7 y = (5/14)x + 8/7

Write the equation of the line that passes through the points $(-6,-1)$ and $(8,4)$ . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line. $\newline$ Answer:

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Write the equation of the line that passes through the points $(-6,-1)$ and $(8,4)$ . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line. $\newline$ Answer: