The required equation is 5x - 12y = -75
What is slope of line?
The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate points and calculating the slope of a line are related tasks. Typically, in order to determine the slope of a line, we need to know the values of any two separate line coordinates.
Given points are (−3,5) and (9,10)
The slope of the line is given by:
m= [tex]\frac{(10-5)}{9-(-3)} =\frac{5}{12}[/tex]
The equation becomes:
[tex]y-5=\frac{5}{12} [x-(-3)]\\\\y-5=\frac{5}{12} (x+3)[/tex]
12y − 60 = 5x + 15
5x − 12y = −75
Hence, The required equation is 5x - 12y = -75
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