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Rewrite each equation in slope-intercept form, if necessary, then determine whether the lines are parallel , perpendicular, or neither.A.) y=2×+1B.)2x+y=7The slope line A is _The slope of line B is _Lines A and B are _

User Anders Kaseorg
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You have the following equation of two lines:

A) y = 2x + 1

B) 2x + y = 7

the general form of an equation of a line is given by:

y = mx + b

where m is the slope and b is the y-intercept.

The equation A is already written in the slope-intercep form. By comparing the equation with the general form you can notice that the slope is:

mA = 2

Next, you rewrite the equation B:

2x + y = 7 subtract 2x both sides

y = -2x + 7

by comparing with the general fom you have that the equation B has the following slope:

mB = -2

In order to determine if the lines are parallel,perpendicular, or neither, you calculate the quotien between the slopes of the lines.

mA/mB = 2/(-2) = -1

The quotient between the slopes is -1, this means that the lines are perpendicular

User Chantey
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