The equation of the line passing through the points (−5, 6), (−7, 3) is 2y = 3x +27.
What is the standard equation of a line?
The standard equation of a line is given by
y = mx+c
Here m is the slope and c is the y intercept
The slope can be determined by
m = (y₂ -y₁)/(x₂ -x₁)
The equation of the line passing through the points (−5, 6), (−7, 3) will be determined using
(y - y₁) = m(x -x₁)
m = ( -3/ -2) = 3/2
(y - 6) = (3/2) ( x +5)
y - 6 = (3/2) x + 15/2
y = (3/2)x +15/2 +6
y = (3/2)x +27/2
2y = 3x +27
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