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Find the equation if the line that passes through the lines (-1,-5)(5,4)

User Mayleen
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To find the equation of a line passing through two points, (-1, -5) and (5, 4), we can use the point-slope form of a linear equation.

The formula for the point-slope form is: y - y1 = m(x - x1), where (x1, y1) are the coordinates of one of the points on the line, and m is the slope of the line.

First, let's calculate the slope (m) using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) = (-1, -5) and (x2, y2) = (5, 4).

m = (4 - (-5)) / (5 - (-1))

m = 9 / 6

m = 3/2

Now, we can choose one of the points, let's use (-1, -5), and substitute the values into the point-slope form:

y - y1 = m(x - x1)

y - (-5) = (3/2)(x - (-1))

y + 5 = (3/2)(x + 1)

To convert this equation to the standard form (Ax + By = C), we can multiply through by 2 to eliminate the fraction:

2(y + 5) = 3(x + 1)

2y + 10 = 3x + 3

3x - 2y = 7

So, the equation of the line passing through the points (-1, -5) and (5, 4) is 3x - 2y = 7.

User Ilya Dmitriev
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