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A line passes through the points (1,1)(1,1) and (2,7)(2,7). Write its equation in slope-intercept form.\newlineWrite your answer using integers, proper fractions, and improper fractions in simplest form.

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Q. A line passes through the points (1,1)(1,1) and (2,7)(2,7). Write its equation in slope-intercept form.\newlineWrite your answer using integers, proper fractions, and improper fractions in simplest form.
  1. Calculate slope: Step 11: Calculate the slope of the line using the points (1,1)(1,1) and (2,7)(2,7). Slope formula: m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1} Calculation: m=7−12−1=61=6m = \frac{7 - 1}{2 - 1} = \frac{6}{1} = 6
  2. Find y-intercept: Step 22: Use the slope m=6m = 6 and one of the points, say (1,1)(1,1), to find the y-intercept bb. Using the slope-intercept form equation y=mx+by = mx + b, substitute x=1x = 1, y=1y = 1, and m=6m = 6. 1=6(1)+b1 = 6(1) + b 1=6+b1 = 6 + b b=1−6b = 1 - 6 (1,1)(1,1)00
  3. Write equation: Step 33: Write the equation of the line in slope-intercept form using the slope m=6m = 6 and y-intercept b=−5b = -5. Equation: y=6x−5y = 6x - 5

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