write an equation of the line that is parallel to the line y=-3x+2 and passes through the point (0,3)
Mathematics · Middle School · Tue Nov 03 2020
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For finding the equation of the line that is parallel to the line y=-3x+2 and passes through the point (0,3)
we know that the slope of the two parallel lines will be the same so the slope will be
m=(-3), by equation y=-3x+2,
The line passes through the point (0,3) using the general equation of a line
y=mx +c, slope [y-y']=m[x-x']
(y-3)=m(x-0)
y-3=mx, where m=-3
y=-3x+3
so the equation of the line that is parallel to the line y=-3x+2 and passes through the point (0,3) will be y= -3x+3.