Complete the point-slope equation of the line through (1,-1) and (5,2). Use exact numbers. y-(-1)=

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Complete the point-slope equation of the line through  (1,-1) and  (5,2). Use exact numbers.  y-(-1)=

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Find the slope: First, we need to find the slope of the line that passes through the points (1, -1) and (5, 2). The slope (m) is given by the formula: $$ m = \frac{y_2 - y_1}{x_2 - x_1} $$Calculate the slope: Plugging in the coordinates of the two points into the slope formula, we get: $$ m = \frac{2 - (-1)}{5 - 1} $$ $$ m = \frac{2 + 1}{5 - 1} $$ $$ m = \frac{3}{4} $$ So, the slope of the line is $ \frac{3}{4} $.Use point-slope form: Now that we have the slope, we can use the point-slope form of the equation of a line, which is: $$ y - y_1 = m(x - x_1) $$ where $ (x_1, y_1) $ is a point on the line (we can use either of the given points) and $ m $ is the slope.Substitute values: Using the point (1, -1) and the slope $ \frac{3}{4} $, we substitute into the point-slope form: $$ y - (-1) = \frac{3}{4}(x - 1) $$ This simplifies to: $$ y + 1 = \frac{3}{4}(x - 1) $$Final point-slope equation: We can leave the equation in this form, as the problem asks for the point-slope equation with exact numbers. Therefore, the final point-slope equation of the line is: $$ y + 1 = \frac{3}{4}(x - 1) $$

Complete the point-slope equation of the line through $(1,-1)$ and $(5,2)$ . $\newline$ Use exact numbers. $\newline$ $y-(-1)=\square$

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Complete the point-slope equation of the line through (1,−1) (1,-1) (1,−1) and (5,2) (5,2) (5,2).\newlineUse exact numbers.\newliney−(−1)=□ y-(-1)=\square y−(−1)=□

Complete the point-slope equation of the line through $(1,-1)$ and $(5,2)$ . $\newline$ Use exact numbers. $\newline$ $y-(-1)=\square$