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Teachers & SchoolsAlgebra I Drill 4, Problem 5. What is the slope of a line that is parallel to the graph of 8x + 4y = 5?

Algebra I | Parallel lines |

CAHSEE Math | Algebra I |

Construction | Parallel Lines |

Geometry | Parallel and Perpendicular Lines |

Language | English Language |

Parallel and Perpendicular Lines | Equations and Slopes of Lines Parallel Lines |

Namely… into the form of y = mx + b? Let’s give it a shot.

First we need to switch the order of the terms.

When we subtract 8x from both sides, we get 4y equals negative 8x plus 5.

Then we need y to stand alone – so we divide both sides by 4

to get y = -2x plus 5 fourths.

Our slope is negative 2.

But the question asks for the slope of the line PARALLEL to this one.

Oooh – trick question, kinda. Parallel lines all have the same slope.

So… nice try, but we’re onto you, Mister Problem Maker.

Our slope is negative 2, meaning the line slopes downward like this…

So our answer is A. As in, "Avalanche."