Find the point-slope form of the equation of the line passing through the Point: (1, –7); Slope: -2/3

Kymani Hatfield

Kymani Hatfield

Answered question

2022-10-24

Find the point-slope form of the equation of the line passing through the Point: (1, –7); Slope: -2/3

Answer & Explanation

Hamnetmj

Hamnetmj

Beginner2022-10-25Added 21 answers

The main formula of a line is;
y=ax+b

We should use one point to find the real equation. If we use (1,-7) point;
y = a x + b - 7 = a + b ;
a is the slope of the equation, given as - 2 3 ;
- 7 = ( - 2 3 1 ) + b - 7 = - 2 3 + b b = - 7 + 2 3 b = - 19 3
So the equation of the line will be;
y = a x + b y = - 2 3 x - 19 3 ̲

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