The equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1) is y - 1 = 3/2(x+3)
Equation of a line in point-slope form
The equation of a line in point-slope form is expressed as:
y-y0 = m(x-x0)
where:
m is the slope
(x0,y0) is the point on the line
The slope of the given line is as shown:
Slope = 2-(-4)/2-(-2)
Slope = 2+4/2+2
Slope = 6/4 = 3/2
Substitute the slope and the point
y - 1 = 3/2(x-(-3))
y - 1 = 3/2(x+3)
Hence the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1) is y - 1 = 3/2(x+3)
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