The equation in slope-intercept form is y = 13/8x -17/8 and the equation in standard form is 13x -8y = 17
Equation of a line
A line is the shortest distance between two points. The equation of a line in slope-intercept form is y = mx + b while as a standard notation is Ax+By = C
Given the coordinate points (-3, -7) and (5, 6)
Determine the slope
Slope = 6-(-7)/5-(-3)
Slope = 13/8
For the y-intercept
6 = 13/8(5) + b
6 = 65/8 + b
b = 6 - 65/8
b = -17/8
The equation in slope-intercept form is y = 13/8x -17/8
Write in standard form
Recall y = 13/8x - 17/8
Multiply through by 8
8y = 13x - 17
-13x + 8y = -17
13x -8y = 17
Hence the equation in standard form is 13x -8y = 17
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