Complete the point-slope equation of the line through (-5,4) and (1,6). Use exact numbers. y-6=◻

Calculate Slope: To find the point-slope form of the equation of a line, we first need to calculate the slope of the line using the two given points (-5,4) and (1,6). The slope (m) is given by the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.Substitute Coordinates: Substitute the coordinates of the points into the slope formula: m = (6 - 4) / (1 - (-5)) = 2 / (1 + 5) = 2 / 6 = 1 / 3.Write Point-Slope Form: Now that we have the slope, we can use one of the points and the slope to write the point-slope form of the equation. The point-slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. We can use either of the two points, but let's use the point (1,6) for this example.Substitute Slope and Point: Substitute the slope and the coordinates of the point (1,6) into the point-slope form: y - 6 = (1/3)(x - 1).

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Q. Complete the point-slope equation of the line through

(-5,4)

and

(1,6)

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Use exact numbers.

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y-6= \square

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Calculate Slope: To find the point-slope form of the equation of a line, we first need to calculate the slope of the line using the two given points $(-5,4)$ and $(1,6)$ . The slope $m$ is given by the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of the two points.
Substitute Coordinates: Substitute the coordinates of the points into the slope formula: $m = \frac{6 - 4}{1 - (-5)} = \frac{2}{1 + 5} = \frac{2}{6} = \frac{1}{3}$ .
Write Point-Slope Form: Now that we have the slope, we can use one of the points and the slope to write the point-slope form of the equation. The point-slope form is $y - y_1 = m(x - x_1)$ , where $m$ is the slope and $(x_1, y_1)$ is a point on the line. We can use either of the two points, but let's use the point $(1,6)$ for this example.
Substitute Slope and Point: Substitute the slope and the coordinates of the point $(1,6)$ into the point-slope form: $y - 6 = \frac{1}{3}(x - 1)$ .