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write an eqaution of the line that is paralel to the given line and passes thru the given point y = 2x + 3,(-4,1)

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1 Answer

Hi Jason;
y = 2x + 3
This equation is in the slope-intercept form of...
y=mx+b
m is the slope.
b is the y-intercept, the value of y when x=0.
Any equation parallel to it has the same slope, but different y-intercept.
y=2x+b
Let's plug-in the point provided...
1=[(2)(-4)]+b
1=-8+b
Let's add 8 to both sides...
8+1=-8+b+8
9=b
y=2x+9