Complete the equation of the line through (-1,6) and (7,-2). Use exact numbers. y=

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Complete the equation of the line through  (-1,6) and  (7,-2). Use exact numbers.  y=

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Calculate Slope: To find the equation of a line, we need to determine the slope (m) of the line using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points the line passes through. Let's calculate the slope using the points (-1,6) and (7,-2). m = (-2 - 6) / (7 - (-1)) = (-8) / (8) = -1Use Point-Slope Form: Now that we have the slope, we can use the point-slope form of the equation of a line, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Let's use the point (-1,6) and the slope -1 to write the equation. y - 6 = -1(x - (-1))Simplify Equation: Simplify the equation by distributing the slope -1 into the parentheses. y - 6 = -1(x + 1) y - 6 = -1x - 1Isolate y: To write the equation in slope-intercept form (y = mx + b), we need to isolate y on one side of the equation. Add 6 to both sides of the equation to isolate y. y = -1x - 1 + 6 y = -1x + 5Final Equation: The equation of the line in slope-intercept form is now y = -1x + 5, which can also be written as y = -x + 5. This is the final answer in standard form with a leading coefficient of 1 for x.

Complete the equation of the line through $(-1,6)$ and $(7,-2)$ . $\newline$ Use exact numbers. $\newline$ $y=\square$

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Complete the equation of the line through (−1,6) (-1,6) (−1,6) and (7,−2) (7,-2) (7,−2).\newlineUse exact numbers.\newliney=□ y=\square y=□

Complete the equation of the line through $(-1,6)$ and $(7,-2)$ . $\newline$ Use exact numbers. $\newline$ $y=\square$