The phrase "a way that emphasizes" is correct and usable in written English.
You can use it when describing a method or approach that highlights or draws attention to a particular aspect or idea.
Example: "The presentation was designed in a way that emphasizes the importance of teamwork in achieving success."
Alternatives: "a method that highlights" or "an approach that underscores".
Speaker John A. Boehner has shown continued interest in a deal if it can be done in a way that emphasizes lower tax rates.
As Karl Bickel, a senior policy analyst with the Justice Department's Community Policing Services office, observes, police across America are being trained in a way that emphasizes force and aggression.
But she suggests framing it in a way that emphasizes the community aspect of gaming.
For decades he has used raw unstretched canvas of different textures and tones in a way that emphasizes portability.
"Talk about your experience in a way that emphasizes your own learning and doesn't sound like bragging," Cappelli says.
Transportation systems around the world have been designed in a way that emphasizes the pre-eminence of motorized mobility, in particular the private car.
For a long time, the images of the Upper Paleolithic were represented in a way that emphasized their aesthetic qualities and ignored the specific characteristics of their natural supports.
Traditionally, Barolos were made in a way that emphasized the tannins, the astringent, mouth-puckering substances that give serious red wines their structure, but that also make them difficult to enjoy before they have spent many years in a cellar.
Late last year, hackers obtained private e-mail messages from leading researchers at the University of East Anglia in England suggesting they were altering the presentation of some data in a way that emphasized the human influence on climate change.
Until the middle of the 20th century, he said, wines were made in a way that emphasized the elegance of the tempranillo grape, the predominant red variety in Rioja, without the power of the "modern" wines or the sometimes heavy-handed oak influence of the traditional ones.
Mostly, he ran through her career since the day he'd met her in a way that emphasized the continuity in her work—"She's been around a long time, she sure has, and she's sure been worth every single year she's put into making people's lives better," he said.
