2x-15y = 117 is the simplified form of the equation.
Equation : In a mathematical sentence, if two expressions are present in left and right side of an equal sign, then the mathematical sentence is called an equation.
If, a, b, c be integers and x is x-intercept & y is y-intercept, then ax+by=c is called equation of line.
Given that, the equation of the line that passes through the points (-9,-9)(−9,−9) and (6,-7)(6,−7).
Now, (-9,-9) & (6, -7) have a line through them with slope = (-9+7)/(-9-6) = 2/15
Therefore, (y+7) = 2/15×(x-6)
⇒ y+7 = 2x/15 - 4/5
⇒ y = 2x/15 - 4/5 - 7
⇒ y = 2x/15 -39/5
This is the equation in slope intercept form.
Multiplying the equation with 15, we get,
⇒ 15y = 2x-117
⇒ 2x-15y = 117 , which is the simplified form of the equation.
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