The equation of the line that passes through the point (-2,3) and is parallel to the line whose equation is y = 3/2x - 4 is y=3/2x+6.
What is the equation of a line?
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is constant.
Since the line that passes through the point (-2,3), should be parallel to line y=3/2x-4, therefore, the slope of both lines will be the same. Therefore, the equation of the line can be written as,
[tex]y_1= \dfrac32x_1 + c[/tex]
Substitute the point (-2,3) in the above equation, we will get,
[tex]3= \dfrac32(-2) + c\\\\3 = -3+c\\\\6=c[/tex]
Thus, the equation of the line that passes through the point (-2,3) and is parallel to the line whose equation is y = 3/2x - 4 is y=3/2x+6.
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