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A line passes through the points (−1,−9)(-1,-9) and (1,7)(1,7). Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.

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Q. A line passes through the points (−1,−9)(-1,-9) and (1,7)(1,7). Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.
  1. Calculate Slope: Step 11: Calculate the slope mm using the formula m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1} with points (−1,−9)(-1, -9) and (1,7)(1, 7).\newlineCalculation: m=7−(−9)1−(−1)=162=8m = \frac{7 - (-9)}{1 - (-1)} = \frac{16}{2} = 8.
  2. Find Y-Intercept: Step 22: Use the slope m=8m = 8 and one of the points, say (−1,−9)(-1, -9), to find the y-intercept bb using the formula y=mx+by = mx + b.\newlineCalculation: −9=8(−1)+b-9 = 8(-1) + b, −9=−8+b-9 = -8 + b, b=−9+8b = -9 + 8, b=−1b = -1.
  3. Write Equation: Step 33: Write the equation of the line in slope-intercept form y=mx+by = mx + b using m=8m = 8 and b=−1b = -1.\newlineCalculation: y=8x−1y = 8x - 1.

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