CAHSEE Math 4.5 Algebra I

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

Algebra IParallel lines
CAHSEE MathAlgebra I
ConstructionParallel Lines
GeometryParallel and Perpendicular Lines
LanguageEnglish Language
Parallel and Perpendicular LinesEquations and Slopes of Lines
Parallel Lines

Transcript

00:24

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

00:30

First we need to switch the order of the terms.

00:32

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

00:40

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

00:44

to get y = -2x plus 5 fourths.

00:49

Our slope is negative 2.

00:51

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

00:55

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

00:59

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

01:03

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

01:09

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