Guided Practice



Are the graphs of the lines in the pair parallel? Explain.
y = −3/2x + 2
3x + 2y = 8



A.

yes; same slopes and different y-intercepts



B.

no; different slopes



C.

no; same slopes and same y-intercepts

Respuesta :

Answer:

A

Step-by-step explanation:

if you are unsure desmos graphing calculator is a great source!

Answer:

A.

yes; same slopes and different y-intercepts

Step-by-step explanation:

Are the graphs of the lines in each pair parallel? Explain.

y = -3/2x + 2

3x + 2y = 8 **

Standard form of equation for a straight line: y=mx+b, m=slope, b=y-intercept

Rewrite given equations in standard form:

First equation: y=-3x/2+2

Second equation:

3x + 2y = 8

2y=-3x+8

y=-3x/2+4 ..

As you can see, both lines have the same slope but different x-intercepts, therefore, lines are parallel to each other

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