The point slope equation is y = (-3/4) x +5/18.
According to the statement
we have find that the equation of the line in general form.
So, For this purpose, we know that the
The point slope form of a linear equation is (y - y1) = m(x - x1) and is useful for finding the equation for a line when you know one point along the line and the slope of the line.
And from the given information:
Two lines are perpendicular And the given equation is
3x+4y=7
And from this the slope becomes
4y = -3x +7
y= -3/4x +7/4
So, the slope becomes -3/4.
And the given points are the (-2/3 , 7/9)
Now, take the equation Using point slop formula, you can derive the equation of the line as following:
y - 7/9 = -3/4 (x+2/3)
which is y = (-3/4) x - 1/2+7/9
y = (-3/4) x - 1/2+7/9
y = (-3/4) x - 9+14/18
y = (-3/4) x +5/18.
So, The point slope equation is y = (-3/4) x +5/18.
Learn more about point slope form here
https://brainly.com/question/6497976
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